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Prims.Tot | val va_code_Clmul128 : va_dummy:unit -> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ()))))))))))))) | val va_code_Clmul128 : va_dummy:unit -> Tot va_code
let va_code_Clmul128 () = | false | null | false | (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_CCons (va_code_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2))
(va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 3))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2))
(va_CNil ()))))))))))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_Clmul128 : va_dummy:unit -> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | {
"end_col": 51,
"end_line": 513,
"start_col": 2,
"start_line": 503
} |
Prims.Tot | val va_code_ReduceMulRev128 : va_dummy:unit -> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ()))))))))))) | val va_code_ReduceMulRev128 : va_dummy:unit -> Tot va_code
let va_code_ReduceMulRev128 () = | false | null | false | (va_Block (va_CCons (va_code_ClmulRev128 ())
(va_CCons (va_code_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2))
(va_CCons (va_code_ClmulRev128 ())
(va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2))
(va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 6))
(va_CNil ()))))))))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128",
"Vale.PPC64LE.InsVector.va_code_Vmr",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_ReduceMulRev128 : va_dummy:unit -> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | {
"end_col": 26,
"end_line": 971,
"start_col": 2,
"start_line": 965
} |
Prims.Tot | val va_codegen_success_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot
va_pbool | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ())) | val va_codegen_success_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot
va_pbool
let va_codegen_success_Low64ToHigh dst src = | false | null | false | (va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ())) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsVector.va_codegen_success_Vsldoi",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_codegen_success_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot
va_pbool | [] | Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Low64ToHigh | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Vale.PPC64LE.Decls.va_pbool | {
"end_col": 90,
"end_line": 390,
"start_col": 2,
"start_line": 390
} |
Prims.Tot | val va_codegen_success_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot
va_pbool | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ())) | val va_codegen_success_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot
va_pbool
let va_codegen_success_High64ToLow dst src = | false | null | false | (va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ())) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsVector.va_codegen_success_Vsldoi",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_codegen_success_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot
va_pbool | [] | Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_High64ToLow | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Vale.PPC64LE.Decls.va_pbool | {
"end_col": 90,
"end_line": 357,
"start_col": 2,
"start_line": 357
} |
Prims.Tot | val va_code_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ()))) | val va_code_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code
let va_code_Low64ToHigh dst src = | false | null | false | (va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ()))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Vale.PPC64LE.Decls.va_code | {
"end_col": 85,
"end_line": 386,
"start_col": 2,
"start_line": 386
} |
Prims.Tot | val va_code_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ()))) | val va_code_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code
let va_code_High64ToLow dst src = | false | null | false | (va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ()))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Vale.PPC64LE.Decls.va_code | {
"end_col": 85,
"end_line": 353,
"start_col": 2,
"start_line": 353
} |
Prims.Tot | val va_wp_Clmul128 (ab cd: poly) (va_s0: va_state) (va_k: (va_state -> (poly & poly) -> Type0))
: Type0 | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi)))) | val va_wp_Clmul128 (ab cd: poly) (va_s0: va_state) (va_k: (va_state -> (poly & poly) -> Type0))
: Type0
let va_wp_Clmul128 (ab cd: poly) (va_s0: va_state) (va_k: (va_state -> (poly & poly) -> Type0))
: Type0 = | false | null | false | (va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 cd /\
(forall (va_x_v0: quad32)
(va_x_v1: quad32)
(va_x_v2: quad32)
(va_x_v3: quad32)
(va_x_v4: quad32)
(va_x_v5: quad32)
(lo: poly)
(hi: poly).
let va_sM =
va_upd_vec 5
va_x_v5
(va_upd_vec 4
va_x_v4
(va_upd_vec 3
va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0)))))
in
va_get_ok va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==>
va_k va_sM ((lo, hi)))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"FStar.Pervasives.Native.tuple2",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Prims.eq2",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Prims.l_Forall",
"Vale.PPC64LE.Machine_s.quad32",
"Prims.l_imp",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.shift",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0)) | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wp_Clmul128 (ab cd: poly) (va_s0: va_state) (va_k: (va_state -> (poly & poly) -> Type0))
: Type0 | [] | Vale.AES.PPC64LE.GF128_Mul.va_wp_Clmul128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k:
(_: Vale.PPC64LE.Decls.va_state -> _: (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
-> Type0)
-> Type0 | {
"end_col": 67,
"end_line": 722,
"start_col": 2,
"start_line": 713
} |
Prims.Tot | val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ()))) | val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
let va_code_AddPoly dst src1 src2 = | false | null | false | (va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ()))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Vxor",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src1: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src2: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Vale.PPC64LE.Decls.va_code | {
"end_col": 65,
"end_line": 434,
"start_col": 2,
"start_line": 434
} |
Prims.Tot | val va_code_Gf128MulRev128 : va_dummy:unit -> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_Gf128MulRev128 () =
(va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ()))) | val va_code_Gf128MulRev128 : va_dummy:unit -> Tot va_code
let va_code_Gf128MulRev128 () = | false | null | false | (va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ()))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (()))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceMulRev128 va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceMulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceMulRev128 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceMulRev128 (va_code_ReduceMulRev128 ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Gf128MulRev128
[@ "opaque_to_smt" va_qattr] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_Gf128MulRev128 : va_dummy:unit -> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128MulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | {
"end_col": 65,
"end_line": 1074,
"start_col": 2,
"start_line": 1074
} |
Prims.Tot | val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ())))))) | val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
let va_code_Gf128ModulusRev dst = | false | null | false | (va_Block (va_CCons (va_code_Vxor dst dst dst)
(va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (- 7936))
(va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ())))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Vxor",
"Vale.PPC64LE.InsBasic.va_code_LoadImmShl64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Prims.op_Minus",
"Vale.PPC64LE.InsVector.va_code_Mtvsrws",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code | [] | Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_code | {
"end_col": 71,
"end_line": 877,
"start_col": 2,
"start_line": 875
} |
Prims.Tot | val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ()))) | val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
let va_codegen_success_ClmulRev128 () = | false | null | false | (va_pbool_and (va_codegen_success_Clmul128 ())
(va_pbool_and (va_codegen_success_ShiftLeft2_128_1 ()) (va_ttrue ()))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Clmul128",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ShiftLeft2_128_1",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr] | false | true | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool | [] | Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ClmulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | {
"end_col": 23,
"end_line": 760,
"start_col": 2,
"start_line": 759
} |
Prims.Tot | val va_quick_ShiftLeft2_128_1 (lo hi: poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi)) | val va_quick_ShiftLeft2_128_1 (lo hi: poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1 ()))
let va_quick_ShiftLeft2_128_1 (lo hi: poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1 ())) = | false | null | false | (va_QProc (va_code_ShiftLeft2_128_1 ())
([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_ShiftLeft2_128_1 lo hi)
(va_wpProof_ShiftLeft2_128_1 lo hi)) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Vale.AES.PPC64LE.GF128_Mul.va_wp_ShiftLeft2_128_1",
"Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ShiftLeft2_128_1",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1 | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_quick_ShiftLeft2_128_1 (lo hi: poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_quick_ShiftLeft2_128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | lo: Vale.Math.Poly2_s.poly -> hi: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1 ()) | {
"end_col": 87,
"end_line": 227,
"start_col": 2,
"start_line": 226
} |
Prims.Ghost | val va_wpProof_ShiftLeft128_1 : a:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft128_1 a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft128_1 ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_ShiftLeft128_1 : a:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft128_1 a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft128_1 ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_ShiftLeft128_1 a va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM va_s0)))
);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_ShiftLeft128_1",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft128_1"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_ShiftLeft128_1 : a:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft128_1 a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft128_1 ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ShiftLeft128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
a: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 71,
"start_col": 44,
"start_line": 64
} |
Prims.Ghost | val va_wpProof_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> a:poly ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Low64ToHigh dst src a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Low64ToHigh dst src) ([va_mod_vec_opr
dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> a:poly ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Low64ToHigh dst src a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Low64ToHigh dst src) ([va_mod_vec_opr
dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_Low64ToHigh dst src a va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_update_operand_vec_opr",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_Low64ToHigh",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> a:poly ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Low64ToHigh dst src a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Low64ToHigh dst src) ([va_mod_vec_opr
dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Low64ToHigh | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 425,
"start_col": 49,
"start_line": 419
} |
Prims.Ghost | val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_ShiftLeft2_128_1",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ShiftLeft2_128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
lo: Vale.Math.Poly2_s.poly ->
hi: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 221,
"start_col": 50,
"start_line": 213
} |
Prims.Tot | val va_qcode_Low64ToHigh (va_mods: va_mods_t) (dst src: vec_opr) (a: poly)
: (va_quickCode unit (va_code_Low64ToHigh dst src)) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (()))))) | val va_qcode_Low64ToHigh (va_mods: va_mods_t) (dst src: vec_opr) (a: poly)
: (va_quickCode unit (va_code_Low64ToHigh dst src))
let va_qcode_Low64ToHigh (va_mods: va_mods_t) (dst src: vec_opr) (a: poly)
: (va_quickCode unit (va_code_Low64ToHigh dst src)) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8)
(fun (va_s: va_state) _ ->
let va_arg4:Vale.Math.Poly2_s.poly = a in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4)
(va_QEmpty (()))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Decls.vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsVector.va_quick_Vsldoi",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Def.Words_s.nat32",
"Prims.eq2",
"Vale.Def.Words_s.four",
"Vale.Def.Words_s.Mkfour",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.div",
"Prims.logical",
"Vale.Math.Poly2.Words.lemma_quad32_double_shift",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_Low64ToHigh (va_mods: va_mods_t) (dst src: vec_opr) (a: poly)
: (va_quickCode unit (va_code_Low64ToHigh dst src)) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_Low64ToHigh | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
dst: Vale.PPC64LE.Decls.vec_opr ->
src: Vale.PPC64LE.Decls.vec_opr ->
a: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh dst src) | {
"end_col": 97,
"end_line": 400,
"start_col": 2,
"start_line": 395
} |
Prims.Tot | val va_quick_AddPoly (dst src1 src2: va_operand_vec_opr) (a b: poly)
: (va_quickCode unit (va_code_AddPoly dst src1 src2)) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b)) | val va_quick_AddPoly (dst src1 src2: va_operand_vec_opr) (a b: poly)
: (va_quickCode unit (va_code_AddPoly dst src1 src2))
let va_quick_AddPoly (dst src1 src2: va_operand_vec_opr) (a b: poly)
: (va_quickCode unit (va_code_AddPoly dst src1 src2)) = | false | null | false | (va_QProc (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst])
(va_wp_AddPoly dst src1 src2 a b)
(va_wpProof_AddPoly dst src1 src2 a b)) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"Vale.AES.PPC64LE.GF128_Mul.va_wp_AddPoly",
"Vale.AES.PPC64LE.GF128_Mul.va_wpProof_AddPoly",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_quick_AddPoly (dst src1 src2: va_operand_vec_opr) (a b: poly)
: (va_quickCode unit (va_code_AddPoly dst src1 src2)) | [] | Vale.AES.PPC64LE.GF128_Mul.va_quick_AddPoly | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src1: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src2: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly dst src1 src2) | {
"end_col": 46,
"end_line": 496,
"start_col": 2,
"start_line": 495
} |
Prims.Ghost | val va_wpProof_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> a:poly ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_High64ToLow dst src a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_High64ToLow dst src) ([va_mod_vec_opr
dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> a:poly ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_High64ToLow dst src a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_High64ToLow dst src) ([va_mod_vec_opr
dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_High64ToLow dst src a va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_update_operand_vec_opr",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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 | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> a:poly ->
va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_High64ToLow dst src a va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_High64ToLow dst src) ([va_mod_vec_opr
dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_High64ToLow | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 379,
"start_col": 49,
"start_line": 373
} |
Prims.Tot | val va_quick_Gf128ModulusRev (dst: va_operand_vec_opr)
: (va_quickCode unit (va_code_Gf128ModulusRev dst)) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst)) | val va_quick_Gf128ModulusRev (dst: va_operand_vec_opr)
: (va_quickCode unit (va_code_Gf128ModulusRev dst))
let va_quick_Gf128ModulusRev (dst: va_operand_vec_opr)
: (va_quickCode unit (va_code_Gf128ModulusRev dst)) = | false | null | false | (va_QProc (va_code_Gf128ModulusRev dst)
([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst)
(va_wpProof_Gf128ModulusRev dst)) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"Vale.AES.PPC64LE.GF128_Mul.va_wp_Gf128ModulusRev",
"Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Gf128ModulusRev",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_quick_Gf128ModulusRev (dst: va_operand_vec_opr)
: (va_quickCode unit (va_code_Gf128ModulusRev dst)) | [] | Vale.AES.PPC64LE.GF128_Mul.va_quick_Gf128ModulusRev | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | dst: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev dst) | {
"end_col": 65,
"end_line": 959,
"start_col": 2,
"start_line": 958
} |
Prims.Tot | val va_qcode_ClmulRev64High (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ClmulRev64High ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (())))))))))))) | val va_qcode_ClmulRev64High (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ClmulRev64High ()))
let va_qcode_ClmulRev64High (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ClmulRev64High ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let va_arg18:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18)
(let va_arg17:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17)
(let va_arg16:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64)
(let va_arg15:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64)
(let va_arg14:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64)
(let va_arg13:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse
a
63)
(Vale.Math.Poly2_s.reverse b 63)))
(fun (va_s: va_state) _ ->
let va_arg12:Vale.Math.Poly2_s.poly = b in
let va_arg11:Vale.Math.Poly2_s.poly = a in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11
va_arg12
63)
(va_QEmpty (())))))))))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft128_1",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2.Bits_s.of_double32",
"Vale.Arch.Types.quad32_double_lo",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.Arch.Types.quad32_double_hi",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.shift",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.Math.Poly2.Bits.lemma_quad32_double",
"Prims.l_True",
"Vale.Math.Poly2.mask",
"Vale.Math.Poly2.Lemmas.lemma_mask_is_mod",
"Prims.op_Minus",
"Vale.Math.Poly2.Lemmas.lemma_shift_is_div",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulHigh",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_ShiftLeft128_1",
"Vale.Math.Poly2_s.reverse",
"Prims.op_Addition",
"Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_ClmulRev64High (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ClmulRev64High ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_ClmulRev64High | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> a: Vale.Math.Poly2_s.poly -> b: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High ()) | {
"end_col": 30,
"end_line": 281,
"start_col": 2,
"start_line": 246
} |
Prims.Ghost | val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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) | val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b = | false | null | false | va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let va_sM, va_f2 = va_lemma_empty_total va_s2 va_b2 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": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_lemma_merge_total",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_lemma_empty_total",
"Prims.unit",
"Vale.Math.Poly2.Words.lemma_add128",
"Prims.list",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_tl",
"Vale.PPC64LE.InsVector.va_lemma_Vxor",
"Vale.PPC64LE.Decls.va_hd",
"Vale.PPC64LE.Decls.va_get_block",
"Vale.PPC64LE.Decls.va_reveal_opaque",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"] | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_AddPoly | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src1: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src2: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 464,
"start_col": 2,
"start_line": 456
} |
Prims.Tot | val va_quick_ClmulRev64High (a b: poly) : (va_quickCode unit (va_code_ClmulRev64High ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b)) | val va_quick_ClmulRev64High (a b: poly) : (va_quickCode unit (va_code_ClmulRev64High ()))
let va_quick_ClmulRev64High (a b: poly) : (va_quickCode unit (va_code_ClmulRev64High ())) = | false | null | false | (va_QProc (va_code_ClmulRev64High ())
([va_Mod_vec 2; va_Mod_vec 1])
(va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b)) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Vale.AES.PPC64LE.GF128_Mul.va_wp_ClmulRev64High",
"Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ClmulRev64High",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr] | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_quick_ClmulRev64High (a b: poly) : (va_quickCode unit (va_code_ClmulRev64High ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_quick_ClmulRev64High | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | a: Vale.Math.Poly2_s.poly -> b: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High ()) | {
"end_col": 36,
"end_line": 347,
"start_col": 2,
"start_line": 346
} |
Prims.Tot | val va_qcode_Gf128MulRev128 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_Gf128MulRev128 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in let
(b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 372 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ReduceMulRev128 (Vale.Math.Poly2_s.reverse a 127) (Vale.Math.Poly2_s.reverse b 127))
(fun (va_s:va_state) _ -> let (va_arg6:Vale.Math.Poly2_s.poly) = Vale.AES.GF128.gf128_mul_rev a
b in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 373 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg6) (va_QEmpty (()))))) | val va_qcode_Gf128MulRev128 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ()))
let va_qcode_Gf128MulRev128 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let a:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
let b:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 372 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ReduceMulRev128 (Vale.Math.Poly2_s.reverse a 127)
(Vale.Math.Poly2_s.reverse b 127))
(fun (va_s: va_state) _ ->
let va_arg6:Vale.Math.Poly2_s.poly = Vale.AES.GF128.gf128_mul_rev a b in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 373 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg6)
(va_QEmpty (()))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_ReduceMulRev128",
"Vale.Math.Poly2_s.reverse",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2.Bits.lemma_of_to_quad32",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.AES.GF128.gf128_mul_rev",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128MulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (()))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceMulRev128 va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceMulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceMulRev128 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceMulRev128 (va_code_ReduceMulRev128 ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Gf128MulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_Gf128MulRev128 () =
(va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Gf128MulRev128 () =
(va_pbool_and (va_codegen_success_ReduceMulRev128 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr] | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_Gf128MulRev128 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_Gf128MulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_mods: Vale.PPC64LE.QuickCode.va_mods_t
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128MulRev128 ()) | {
"end_col": 89,
"end_line": 1091,
"start_col": 2,
"start_line": 1082
} |
Prims.Ghost | val va_lemma_Low64ToHigh : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src:va_operand_vec_opr -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Low64ToHigh dst src) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src va_s0 /\ va_get_ok va_s0 /\ va_get_vec 0 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ Vale.Math.Poly2_s.degree a <= 127 /\
va_eval_vec_opr va_s0 src == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM) | val va_lemma_Low64ToHigh : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src:va_operand_vec_opr -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Low64ToHigh dst src) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src va_s0 /\ va_get_ok va_s0 /\ va_get_vec 0 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ Vale.Math.Poly2_s.degree a <= 127 /\
va_eval_vec_opr va_s0 src == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a = | false | null | false | let va_mods:va_mods_t = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Low64ToHigh dst src)
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod a
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64))))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_eval_vec_opr",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_Low64ToHigh"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (()))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_Low64ToHigh : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src:va_operand_vec_opr -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Low64ToHigh dst src) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src va_s0 /\ va_get_ok va_s0 /\ va_get_vec 0 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ Vale.Math.Poly2_s.degree a <= 127 /\
va_eval_vec_opr va_s0 src == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_Low64ToHigh | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 415,
"start_col": 48,
"start_line": 403
} |
Prims.Ghost | val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_ClmulRev64High a b va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM va_s0)))
);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_ClmulRev64High",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g)))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ClmulRev64High | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 342,
"start_col": 46,
"start_line": 335
} |
Prims.Ghost | val va_lemma_High64ToLow : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src:va_operand_vec_opr -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_High64ToLow dst src) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src va_s0 /\ va_get_ok va_s0 /\ va_get_vec 0 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ Vale.Math.Poly2_s.degree a <= 127 /\
va_eval_vec_opr va_s0 src == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div a
(Vale.Math.Poly2_s.monomial 64)) /\ va_state_eq va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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) | val va_lemma_High64ToLow : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src:va_operand_vec_opr -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_High64ToLow dst src) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src va_s0 /\ va_get_ok va_s0 /\ va_get_vec 0 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ Vale.Math.Poly2_s.degree a <= 127 /\
va_eval_vec_opr va_s0 src == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div a
(Vale.Math.Poly2_s.monomial 64)) /\ va_state_eq va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0))))
let va_lemma_High64ToLow va_b0 va_s0 dst src a = | false | null | false | va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let va_sM, va_f2 = va_lemma_empty_total va_s2 va_b2 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": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_lemma_merge_total",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_lemma_empty_total",
"Prims.unit",
"Vale.Math.Poly2.Words.lemma_quad32_double_shift",
"Prims.list",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_tl",
"Vale.PPC64LE.InsVector.va_lemma_Vsldoi",
"Vale.PPC64LE.Decls.va_hd",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_get_block",
"Vale.PPC64LE.Decls.va_reveal_opaque",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"] | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_High64ToLow : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src:va_operand_vec_opr -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_High64ToLow dst src) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src va_s0 /\ va_get_ok va_s0 /\ va_get_vec 0 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ Vale.Math.Poly2_s.degree a <= 127 /\
va_eval_vec_opr va_s0 src == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div a
(Vale.Math.Poly2_s.monomial 64)) /\ va_state_eq va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_High64ToLow | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 369,
"start_col": 2,
"start_line": 361
} |
Prims.Tot | val va_qcode_ClmulRev128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_ClmulRev128 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi))))))))) | val va_qcode_ClmulRev128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_ClmulRev128 ()))
let va_qcode_ClmulRev128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_ClmulRev128 ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127))
(fun (va_s: va_state) va_g ->
let lo, hi = va_g in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi)
(fun (va_s: va_state) _ ->
let m:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128
)
lo)
1
in
let va_arg13:Vale.Math.Poly2_s.poly = lo in
let va_arg12:Vale.Math.Poly2_s.poly = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128)
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128)
(let lo:poly = Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in
let hi:poly =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128)
in
let va_arg11:Vale.Math.Poly2_s.poly = cd in
let va_arg10:Vale.Math.Poly2_s.poly = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10
va_arg11
127)
(va_QEmpty ((lo, hi))))))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"FStar.Pervasives.Native.tuple2",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_Clmul128",
"Vale.Math.Poly2_s.reverse",
"Prims.unit",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_ShiftLeft2_128_1",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.shift",
"Prims.int",
"Prims.bool",
"Vale.Math.Poly2_s.poly_index",
"Prims.op_Subtraction",
"Vale.Math.Poly2.Lemmas.lemma_combine_define",
"Prims.l_True",
"Vale.Math.Poly2.Lemmas.lemma_split_define",
"Prims.op_LessThanOrEqual",
"Prims.op_Addition",
"Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_ClmulRev128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_ClmulRev128 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_ClmulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
(Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128 ()) | {
"end_col": 32,
"end_line": 785,
"start_col": 2,
"start_line": 765
} |
Prims.Ghost | val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_update_operand_vec_opr",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_AddPoly",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_AddPoly | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src1: Vale.PPC64LE.Decls.va_operand_vec_opr ->
src2: Vale.PPC64LE.Decls.va_operand_vec_opr ->
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 490,
"start_col": 53,
"start_line": 484
} |
Prims.Tot | val va_quick_ClmulRev128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd)) | val va_quick_ClmulRev128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128 ()))
let va_quick_ClmulRev128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128 ())) = | false | null | false | (va_QProc (va_code_ClmulRev128 ())
([
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10
])
(va_wp_ClmulRev128 ab cd)
(va_wpProof_ClmulRev128 ab cd)) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCode.va_QProc",
"FStar.Pervasives.Native.tuple2",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Vale.AES.PPC64LE.GF128_Mul.va_wp_ClmulRev128",
"Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ClmulRev128",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128 | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_quick_ClmulRev128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_quick_ClmulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | ab: Vale.Math.Poly2_s.poly -> cd: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
(Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128 ()) | {
"end_col": 11,
"end_line": 868,
"start_col": 2,
"start_line": 866
} |
Prims.Tot | val va_qcode_ReduceMulRev128 (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ReduceMulRev128 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (())))))))))))))))))) | val va_qcode_ReduceMulRev128 (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ReduceMulRev128 ()))
let va_qcode_ReduceMulRev128 (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ReduceMulRev128 ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.AES.GF128.lemma_gf128_degree ())
(let va_arg31:Vale.Math.Poly2_s.poly = b in
let va_arg30:Vale.Math.Poly2_s.poly = a in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30
va_arg31
gf128_modulus_low_terms
128)
(let m:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 128 in
let h:Vale.Math.Poly2_s.poly = gf128_modulus_low_terms in
let ab:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul a b in
let rh:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.reverse h 127 in
let rab:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.reverse ab 255 in
let rd:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod rab m in
let rdh:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127
)
h)
255
in
let rdhL:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod rdh m in
let rdhLh:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rdhL
127)
h)
127
in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b)
(fun (va_s: va_state) va_g ->
let (lo1: poly), (hi1: poly) = va_g in
let va_arg29:Vale.Math.Poly2_s.poly = lo1 in
let va_arg28:Vale.Math.Poly2_s.poly = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h)
(fun (va_s: va_state) va_g ->
let (lo2: poly), (hi2: poly) = va_g in
let va_arg27:Vale.Math.Poly2_s.poly = lo2 in
let va_arg26:Vale.Math.Poly2_s.poly = hi2 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26
va_arg27
128)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2))
(fun (va_s: va_state) _ ->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.AES.GF128.lemma_quad32_double_hi_rev
rdhL)
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.AES.GF128.lemma_quad32_double_hi_rev
rh)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse
rdhL
127)
h)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 5)
rdhLh
(Vale.Math.Poly2_s.div rdh m
))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh
(Vale.Math.Poly2_s.div
rdh
m))
(Vale.Math.Poly2_s.div rab
m))
(va_QEmpty (()))))))))))))))
)))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128",
"Vale.PPC64LE.InsVector.va_code_Vmr",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Prims.int",
"Vale.Math.Poly2_s.degree",
"Vale.AES.GF128_s.gf128_modulus_low_terms",
"Vale.Math.Poly2_s.monomial",
"Vale.AES.GF128_s.gf128_modulus",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.AES.GF128.lemma_gf128_degree",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"Prims.op_GreaterThan",
"Prims.op_Multiply",
"Vale.Math.Poly2_s.add",
"Prims.op_LessThan",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.reverse",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.mul",
"Prims.op_Subtraction",
"Vale.Math.Poly2_s.div",
"Vale.AES.GF128.lemma_gf128_reduce_rev",
"Vale.PPC64LE.QuickCodes.va_QBind",
"FStar.Pervasives.Native.tuple2",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_ClmulRev128",
"Vale.Math.Poly2_s.shift",
"Prims.bool",
"Vale.Math.Poly2_s.poly_index",
"Vale.Math.Poly2.Lemmas.lemma_combine_define",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.InsVector.va_quick_Vmr",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_Gf128ModulusRev",
"Vale.Math.Poly2.Bits_s.of_double32",
"Vale.Arch.Types.quad32_double_hi",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.AES.GF128.lemma_quad32_double_hi_rev",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_ClmulRev64High",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_AddPoly",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_ReduceMulRev128 (va_mods: va_mods_t) (a b: poly)
: (va_quickCode unit (va_code_ReduceMulRev128 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_ReduceMulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> a: Vale.Math.Poly2_s.poly -> b: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128 ()) | {
"end_col": 36,
"end_line": 1037,
"start_col": 2,
"start_line": 988
} |
Prims.Ghost | val va_wpProof_Gf128MulRev128 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128MulRev128 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128MulRev128 ()) ([va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_Gf128MulRev128 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128MulRev128 (va_code_Gf128MulRev128 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_Gf128MulRev128 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128MulRev128 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128MulRev128 ()) ([va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_Gf128MulRev128 va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_Gf128MulRev128 (va_code_Gf128MulRev128 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 6
va_sM
(va_update_vec 5
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([
va_Mod_vec 6;
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_Gf128MulRev128",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128MulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (()))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceMulRev128 va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceMulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceMulRev128 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceMulRev128 (va_code_ReduceMulRev128 ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Gf128MulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_Gf128MulRev128 () =
(va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Gf128MulRev128 () =
(va_pbool_and (va_codegen_success_ReduceMulRev128 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Gf128MulRev128 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in let
(b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 372 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ReduceMulRev128 (Vale.Math.Poly2_s.reverse a 127) (Vale.Math.Poly2_s.reverse b 127))
(fun (va_s:va_state) _ -> let (va_arg6:Vale.Math.Poly2_s.poly) = Vale.AES.GF128.gf128_mul_rev a
b in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 373 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg6) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Gf128MulRev128 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_Gf128MulRev128 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gf128MulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 360 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ (let (a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 1 va_s0) in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 370 column 45 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.AES.GF128.gf128_mul_rev a b))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_Gf128MulRev128 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128MulRev128 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128MulRev128 ()) ([va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Gf128MulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 1122,
"start_col": 42,
"start_line": 1113
} |
Prims.Ghost | val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g) | val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
let va_wpProof_ClmulRev128 ab cd va_s0 va_k = | false | null | false | let va_sM, va_f0, lo, hi = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 5
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))
)))))));
va_lemma_norm_mods ([
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10
])
va_sM
va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Pervasives.Native.Mktuple2",
"Prims.unit",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple4",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_ClmulRev128",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g)))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ClmulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k:
(_: Vale.PPC64LE.Decls.va_state -> _: (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
-> Type0)
-> Prims.Ghost
((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) *
(Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)) | {
"end_col": 22,
"end_line": 861,
"start_col": 45,
"start_line": 852
} |
Prims.Ghost | val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g) | val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
let va_wpProof_Clmul128 ab cd va_s0 va_k = | false | null | false | let va_sM, va_f0, lo, hi = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 5
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))
);
va_lemma_norm_mods ([
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0
])
va_sM
va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"FStar.Pervasives.Native.Mktuple2",
"Prims.unit",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple4",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_Clmul128",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Clmul128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k:
(_: Vale.PPC64LE.Decls.va_state -> _: (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
-> Type0)
-> Prims.Ghost
((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) *
(Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)) | {
"end_col": 22,
"end_line": 742,
"start_col": 42,
"start_line": 733
} |
Prims.Ghost | val va_lemma_ShiftLeft128_1 : va_b0:va_code -> va_s0:va_state -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a < 128 /\ va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1) /\
va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM va_s0))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | val va_lemma_ShiftLeft128_1 : va_b0:va_code -> va_s0:va_state -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a < 128 /\ va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1) /\
va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM va_s0)))))
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a = | false | null | false | let va_mods:va_mods_t = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_ShiftLeft128_1 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft128_1",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.shift",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_ShiftLeft128_1"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (())))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_ShiftLeft128_1 : va_b0:va_code -> va_s0:va_state -> a:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a < 128 /\ va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 a))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1) /\
va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM va_s0))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_ShiftLeft128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> a: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 60,
"start_col": 43,
"start_line": 49
} |
Prims.Ghost | val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0)))))))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi) | val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd = | false | null | false | let va_mods:va_mods_t =
[
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
]
in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_ClmulRev128 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let lo, hi = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 ==
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
])
va_sM
va_s0;
let lo, hi = va_g in
(va_sM, va_fM, lo, hi) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.Mktuple4",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.tuple4",
"Prims.unit",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Vale.Math.Poly2_s.reverse",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.shift",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_ClmulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0)))))))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0)))))))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_ClmulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly
-> Prims.Ghost
(((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Vale.Math.Poly2_s.poly) *
Vale.Math.Poly2_s.poly) | {
"end_col": 24,
"end_line": 826,
"start_col": 44,
"start_line": 803
} |
Prims.Ghost | val va_lemma_ReduceMulRev128 : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ReduceMulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_get_vec 1 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse a 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse b 127)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127) /\ va_state_eq va_sM (va_update_vec 6 va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_ReduceMulRev128 va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceMulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | val va_lemma_ReduceMulRev128 : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ReduceMulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_get_vec 1 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse a 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse b 127)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127) /\ va_state_eq va_sM (va_update_vec 6 va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0)))))))))))
let va_lemma_ReduceMulRev128 va_b0 va_s0 a b = | false | null | false | let va_mods:va_mods_t =
[
va_Mod_vec 6;
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
]
in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_ReduceMulRev128 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.AES.GF128_s.gf128_mul a
b)
127)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 6;
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.reverse",
"Vale.AES.GF128_s.gf128_mul",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_ReduceMulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (())))))))))))))))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_ReduceMulRev128 : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ReduceMulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_get_vec 1 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse a 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse b 127)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127) /\ va_state_eq va_sM (va_update_vec 6 va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_ReduceMulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 1054,
"start_col": 46,
"start_line": 1040
} |
Prims.Ghost | val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0)))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM) | val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst = | false | null | false | va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let va_old_s:va_state = va_s0 in
let va_b1:va_codes = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let va_s3, va_fc3 = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let va_s4, va_fc4 = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (- 7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((- 7936) `op_Modulus` pow2_64) 16;
let va_s6, va_fc6 =
va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)
in
let va_b6 = va_tl va_b4 in
let va_s7, va_fc7 = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127) 64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms
127)
(Vale.Math.Poly2_s.monomial 64))
zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let va_sM, va_f7 = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_lemma_merge_total",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_lemma_empty_total",
"Prims.unit",
"Vale.Math.Poly2.Bits.lemma_quad32_double",
"Vale.Math.Poly2_s.reverse",
"Vale.AES.GF128_s.gf128_modulus_low_terms",
"Vale.Math.Poly2.lemma_equal",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.zero",
"Vale.Math.Poly2.Lemmas.lemma_reverse_define_all",
"Vale.Math.Poly2.Lemmas.lemma_index_all",
"Vale.Math.Poly2.Lemmas.lemma_split_define",
"Prims.list",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_tl",
"Vale.PPC64LE.InsVector.va_lemma_Vsldoi",
"Vale.PPC64LE.Decls.va_hd",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsVector.va_lemma_Mtvsrws",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.AES.Types_helpers.lemma_ishl_64",
"Prims.op_Modulus",
"Prims.op_Minus",
"Vale.PPC64LE.Machine_s.pow2_64",
"Vale.PPC64LE.InsBasic.va_lemma_LoadImmShl64",
"Vale.PPC64LE.InsVector.va_lemma_Vxor",
"Vale.AES.GF128.lemma_gf128_constant_rev",
"Vale.PPC64LE.Decls.va_eval_vec_opr",
"Vale.PPC64LE.Decls.va_get_block",
"Vale.PPC64LE.Decls.va_reveal_opaque",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"] | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0)))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_Gf128ModulusRev | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
dst: Vale.PPC64LE.Decls.va_operand_vec_opr
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 926,
"start_col": 2,
"start_line": 900
} |
Prims.Ghost | val va_lemma_Gf128MulRev128 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128MulRev128 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) in let
(b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.AES.GF128.gf128_mul_rev a b) /\
va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_Gf128MulRev128 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_Gf128MulRev128 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gf128MulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 360 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ (let (a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 1 va_s0) in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_s0) in label va_range1
"***** POSTCONDITION NOT MET AT line 370 column 45 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.AES.GF128.gf128_mul_rev a b))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | val va_lemma_Gf128MulRev128 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128MulRev128 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) in let
(b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.AES.GF128.gf128_mul_rev a b) /\
va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))
let va_lemma_Gf128MulRev128 va_b0 va_s0 = | false | null | false | let va_mods:va_mods_t =
[
va_Mod_vec 6;
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
]
in
let va_qc = va_qcode_Gf128MulRev128 va_mods in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Gf128MulRev128 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 360 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
(let a:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) in
let b:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
label va_range1
"***** POSTCONDITION NOT MET AT line 370 column 45 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.AES.GF128.gf128_mul_rev a b)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 6;
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128MulRev128",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.AES.GF128.gf128_mul_rev",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_Gf128MulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (()))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceMulRev128 va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceMulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceMulRev128 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceMulRev128 (va_code_ReduceMulRev128 ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Gf128MulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_Gf128MulRev128 () =
(va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Gf128MulRev128 () =
(va_pbool_and (va_codegen_success_ReduceMulRev128 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Gf128MulRev128 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gf128MulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in let
(b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 372 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ReduceMulRev128 (Vale.Math.Poly2_s.reverse a 127) (Vale.Math.Poly2_s.reverse b 127))
(fun (va_s:va_state) _ -> let (va_arg6:Vale.Math.Poly2_s.poly) = Vale.AES.GF128.gf128_mul_rev a
b in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 373 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg6) (va_QEmpty (()))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_Gf128MulRev128 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128MulRev128 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (a:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) in let
(b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.AES.GF128.gf128_mul_rev a b) /\
va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_Gf128MulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 1109,
"start_col": 41,
"start_line": 1094
} |
Prims.Ghost | val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0))))))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi) | val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
let va_lemma_Clmul128 va_b0 va_s0 ab cd = | false | null | false | let va_mods:va_mods_t =
[va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]
in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Clmul128 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let lo, hi = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_ok
])
va_sM
va_s0;
let lo, hi = va_g in
(va_sM, va_fM, lo, hi) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.Mktuple4",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.tuple4",
"Prims.unit",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.shift",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_Clmul128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0))))))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0))))))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_Clmul128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly
-> Prims.Ghost
(((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Vale.Math.Poly2_s.poly) *
Vale.Math.Poly2_s.poly) | {
"end_col": 24,
"end_line": 708,
"start_col": 41,
"start_line": 685
} |
Prims.Ghost | val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi = | false | null | false | let va_mods:va_mods_t =
[va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]
in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in
label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in
label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in
label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n))))))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10;
va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.shift",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.monomial",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_ShiftLeft2_128_1"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_ShiftLeft2_128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
lo: Vale.Math.Poly2_s.poly ->
hi: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 189,
"start_col": 49,
"start_line": 167
} |
Prims.Tot | val va_qcode_Clmul128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_Clmul128 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi)))))))))))))))))))))))))))))))))))))))))))))))) | val va_qcode_Clmul128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_Clmul128 ()))
let va_qcode_Clmul128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_Clmul128 ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let n:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in
let a:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div ab n in
let b:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod ab n in
let c:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div cd n in
let d:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod cd n in
let ac:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul a c in
let ad:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul a d in
let bc:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul b c in
let bd:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul b d in
let ab_sw:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.swap ab 64 in
let ab_hi:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod ab n in
let ab_lo:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in
let va_arg77:Vale.Math.Poly2_s.poly = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77)
(let va_arg76:Vale.Math.Poly2_s.poly = cd in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1))
(fun (va_s: va_state) _ ->
let va_arg75:Vale.Math.Poly2_s.poly = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75)
(let va_arg74:Vale.Math.Poly2_s.poly = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74)
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw
)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)
ab_sw)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)
ab_sw)
(fun (va_s: va_state) _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s ==
Vale.Math.Poly2.Bits_s.to_quad32 ab_hi)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s ==
Vale.Math.Poly2.Bits_s.to_quad32 ab_lo)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2))
(fun (va_s: va_state) _ ->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
ab_hi)
(let va_arg73:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div ab_hi n
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_degree_negative
va_arg73)
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
ab_hi
64)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec
4)
(va_op_vec_opr_vec 4
)
(va_op_vec_opr_vec 2
))
(fun
(va_s: va_state)
_
->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
ab_lo)
(let va_arg72:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
ab
n
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun
(_: unit)
->
Vale.Math.Poly2.Lemmas.lemma_div_mod_exact
va_arg72
n)
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun
(_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
ab_lo
64)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh
(va_op_vec_opr_vec
5
)
(va_op_vec_opr_vec
5
)
(va_op_vec_opr_vec
2
))
(fun
(va_s:
va_state
)
_
->
let
va_arg71:Vale.Math.Poly2_s.poly
=
cd
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
va_arg71
)
(
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
ab_sw
64
)
(
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
ab_sw
64
)
(
let
va_arg70:Vale.Math.Poly2_s.poly
=
cd
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg70
64
)
(
let
va_arg69:Vale.Math.Poly2_s.poly
=
cd
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg69
64
)
(
va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
3
va_s
)
==
Vale.Math.Poly2_s.add
ad
bc
)
(
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
ab_hi
64
)
(
let
va_arg68:Vale.Math.Poly2_s.poly
=
ab
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mod_mod
va_arg68
n
)
(
va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
4
va_s
)
==
bd
)
(
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
ab_lo
64
)
(
va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
5
va_s
)
==
ac
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
va_quick_Low64ToHigh
(
va_op_vec_opr_vec
1
)
(
va_op_vec_opr_vec
3
)
(
Vale.Math.Poly2_s.add
ad
bc
)
)
(
fun
(
va_s:
va_state
)
_
->
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mod_distribute
ad
bc
n
)
(
let
va_arg67:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mod
bc
n
in
let
va_arg66:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mod
ad
n
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left
va_arg66
va_arg67
n
)
(
va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
va_get_vec
1
va_s
==
Vale.Math.Poly2.Bits_s.to_quad32
(
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
ad
n
)
n
)
(
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
bc
n
)
n
)
)
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
va_quick_High64ToLow
(
va_op_vec_opr_vec
2
)
(
va_op_vec_opr_vec
3
)
(
Vale.Math.Poly2_s.add
ad
bc
)
)
(
fun
(
va_s:
va_state
)
_
->
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GHash_BE.lemma_div_distribute
ad
bc
n
)
(
va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
va_get_vec
2
va_s
==
Vale.Math.Poly2.Bits_s.to_quad32
(
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.div
ad
n
)
(
Vale.Math.Poly2_s.div
bc
n
)
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
va_quick_AddPoly
(
va_op_vec_opr_vec
1
)
(
va_op_vec_opr_vec
1
)
(
va_op_vec_opr_vec
4
)
(
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
ad
n
)
n
)
(
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
bc
n
)
n
)
)
bd
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
va_quick_AddPoly
(
va_op_vec_opr_vec
2
)
(
va_op_vec_opr_vec
5
)
(
va_op_vec_opr_vec
2
)
ac
(
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.div
ad
n
)
(
Vale.Math.Poly2_s.div
bc
n
)
)
)
(
fun
(
va_s:
va_state
)
_
->
let
va_arg65:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
bc
n
in
let
va_arg64:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
ad
n
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.lemma_add_commute
va_arg64
va_arg65
)
(
let
va_arg63:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
ad
n
in
let
va_arg62:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
bc
n
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.lemma_add_associate
ac
va_arg62
va_arg63
)
(
let
hi:poly
=
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.add
ac
(
Vale.Math.Poly2_s.div
bc
n
)
)
(
Vale.Math.Poly2_s.div
ad
n
)
in
let
va_arg61:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
bc
n
)
n
in
let
va_arg60:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
ad
n
)
n
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.lemma_add_commute
va_arg60
va_arg61
)
(
let
lo:poly
=
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.add
(
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
bc
n
)
n
)
(
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.mod
ad
n
)
n
)
)
bd
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GF128.lemma_gf128_mul
a
b
c
d
64
)
(
va_QEmpty
(
(
lo,
hi
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
))
))))))))))))))
)))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"FStar.Pervasives.Native.tuple2",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2.Bits_s.of_double32",
"Vale.Arch.Types.quad32_double_lo",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.Arch.Types.quad32_double_hi",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.shift",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.Math.Poly2.Bits.lemma_quad32_double",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.InsVector.va_quick_Vspltisw",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.AES.PPC64LE.PolyOps.va_quick_VSwap",
"Prims.op_LessThan",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Math.Poly2.Bits.lemma_of_to_quad32",
"Vale.Def.Words_s.nat32",
"Vale.Def.Words_s.four",
"Vale.Math.Poly2.swap",
"Vale.Def.Words_s.Mkfour",
"Prims.logical",
"Vale.Math.Poly2.Words.lemma_quad32_double_swap",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_Low64ToHigh",
"Vale.PPC64LE.QuickCodes.va_qAssert",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMul",
"Vale.Math.Poly2_s.zero",
"Vale.Math.Poly2.Lemmas.lemma_degree_negative",
"Prims.l_True",
"Prims.op_Minus",
"Vale.Math.Poly2.Lemmas.lemma_shift_is_div",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow",
"Prims.op_GreaterThanOrEqual",
"Vale.Math.Poly2.Lemmas.lemma_div_mod_exact",
"Vale.Math.Poly2.mask",
"Vale.Math.Poly2.Lemmas.lemma_mask_is_mod",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulHigh",
"Vale.Math.Poly2.Lemmas.lemma_mod_mod",
"Vale.Math.Poly2.Lemmas.lemma_mod_distribute",
"Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left",
"Vale.AES.GHash_BE.lemma_div_distribute",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_AddPoly",
"Vale.Math.Poly2.lemma_add_commute",
"Vale.Math.Poly2.lemma_add_associate",
"Prims.op_Addition",
"Vale.AES.GF128.lemma_gf128_mul",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_Clmul128 (va_mods: va_mods_t) (ab cd: poly)
: (va_quickCode (poly & poly) (va_code_Clmul128 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_Clmul128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
ab: Vale.Math.Poly2_s.poly ->
cd: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
(Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128 ()) | {
"end_col": 54,
"end_line": 668,
"start_col": 2,
"start_line": 535
} |
Prims.Tot | val va_qcode_ShiftLeft128_1 (va_mods: va_mods_t) (a: poly)
: (va_quickCode unit (va_code_ShiftLeft128_1 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (())))))) | val va_qcode_ShiftLeft128_1 (va_mods: va_mods_t) (a: poly)
: (va_quickCode unit (va_code_ShiftLeft128_1 ()))
let va_qcode_ShiftLeft128_1 (va_mods: va_mods_t) (a: poly)
: (va_quickCode unit (va_code_ShiftLeft128_1 ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(fun (va_s: va_state) _ ->
let va_arg5:Vale.Math.Poly2_s.poly = a in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5)
(va_QEmpty (())))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Vspltisb",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsVector.va_code_Vsl",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsVector.va_quick_Vspltisb",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.InsVector.va_quick_Vsl",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Def.Types_s.quad32",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.shift",
"Vale.AES.GF128.quad32_shift_left_1",
"Vale.AES.GF128.lemma_shift_left_1",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft128_1"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_ShiftLeft128_1 (va_mods: va_mods_t) (a: poly)
: (va_quickCode unit (va_code_ShiftLeft128_1 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_ShiftLeft128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> a: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft128_1 ()) | {
"end_col": 84,
"end_line": 46,
"start_col": 2,
"start_line": 39
} |
Prims.Tot | val va_quick_Clmul128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd)) | val va_quick_Clmul128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ()))
let va_quick_Clmul128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) = | false | null | false | (va_QProc (va_code_Clmul128 ())
([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0])
(va_wp_Clmul128 ab cd)
(va_wpProof_Clmul128 ab cd)) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCode.va_QProc",
"FStar.Pervasives.Native.tuple2",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Vale.AES.PPC64LE.GF128_Mul.va_wp_Clmul128",
"Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Clmul128",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr] | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_quick_Clmul128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_quick_Clmul128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | ab: Vale.Math.Poly2_s.poly -> cd: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode (Vale.Math.Poly2_s.poly * Vale.Math.Poly2_s.poly)
(Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128 ()) | {
"end_col": 84,
"end_line": 747,
"start_col": 2,
"start_line": 746
} |
Prims.Ghost | val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0))))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
let va_lemma_ClmulRev64High va_b0 va_s0 a b = | false | null | false | let va_mods:va_mods_t = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_ClmulRev64High ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b)
127)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev64High",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.reverse",
"Vale.Math.Poly2_s.mul",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_qcode_ClmulRev64High"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0))))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0))))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_lemma_ClmulRev64High | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | {
"end_col": 16,
"end_line": 311,
"start_col": 45,
"start_line": 299
} |
Prims.Ghost | val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_Gf128ModulusRev dst va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 3
va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.PPC64LE.Decls.va_operand_vec_opr",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_mod_vec_opr",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_update_operand_vec_opr",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_Gf128ModulusRev",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Gf128ModulusRev | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
dst: Vale.PPC64LE.Decls.va_operand_vec_opr ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 953,
"start_col": 47,
"start_line": 946
} |
Prims.Tot | val va_qcode_ShiftLeft2_128_1 (va_mods: va_mods_t) (lo hi: poly)
: (va_quickCode unit (va_code_ShiftLeft2_128_1 ())) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(()))))))))))))))) | val va_qcode_ShiftLeft2_128_1 (va_mods: va_mods_t) (lo hi: poly)
: (va_quickCode unit (va_code_ShiftLeft2_128_1 ()))
let va_qcode_ShiftLeft2_128_1 (va_mods: va_mods_t) (lo hi: poly)
: (va_quickCode unit (va_code_ShiftLeft2_128_1 ())) = | false | null | false | (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 3))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3)
4)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 0))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3))
(fun (va_s: va_state) _ ->
let l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32) =
Vale.Def.Words.Four_s.four_map #nat32
#Vale.Def.Words_s.nat32
(fun (i: nat32) -> Vale.Arch.Types.ishl32 i 1)
(va_get_vec 2 va_old_s)
in
let r:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32) =
Vale.Def.Words.Four_s.four_map #nat32
#Vale.Def.Words_s.nat32
(fun (i: nat32) -> Vale.Arch.Types.ishr32 i 31)
(va_get_vec 2 va_old_s)
in
let va_arg22:Vale.Def.Types_s.quad32 =
va_get_vec 3 va_s
in
let va_arg21:Vale.Def.Types_s.quad32 =
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r)
(Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21
va_arg22)
(let va_arg20:Vale.Def.Types_s.quad32 =
va_get_vec 3 va_s
in
let va_arg19:Vale.Def.Types_s.quad32 =
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32
0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r)
(Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r)
in
let va_arg18:Vale.Def.Types_s.quad32 = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.Arch.TypesNative.lemma_quad32_xor_associates
va_arg18
va_arg19
va_arg20)
(let va_arg17:Vale.Math.Poly2_s.poly = hi in
let va_arg16:Vale.Math.Poly2_s.poly = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_: unit) ->
Vale.AES.GF128.lemma_shift_2_left_1 va_arg16
va_arg17)
(va_QEmpty (()))))))))))))))) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [
"total"
] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsBasic.va_code_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_code_Mtvsrws",
"Vale.PPC64LE.InsVector.va_code_Vsrw",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.PPC64LE.InsVector.va_code_Vspltisb",
"Vale.PPC64LE.InsVector.va_code_Vsl",
"Vale.PPC64LE.InsVector.va_code_Vxor",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsVector.va_quick_Vspltisw",
"Vale.PPC64LE.InsBasic.va_quick_LoadImm64",
"Vale.PPC64LE.InsVector.va_quick_Mtvsrws",
"Vale.PPC64LE.InsVector.va_quick_Vsrw",
"Vale.PPC64LE.InsVector.va_quick_Vsldoi",
"Vale.PPC64LE.InsVector.va_quick_Vspltisb",
"Vale.PPC64LE.InsVector.va_quick_Vsl",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.InsVector.va_quick_Vxor",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.b2t",
"Prims.op_Equality",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.quad32_xor",
"Vale.Arch.TypesNative.lemma_quad32_xor_commutes",
"Prims.eq2",
"Vale.Arch.TypesNative.lemma_quad32_xor_associates",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Vale.AES.GF128.quad32_shift_2_left_1",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.shift",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.div",
"Prims.logical",
"Vale.AES.GF128.lemma_shift_2_left_1",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.Def.Words_s.Mkfour",
"Vale.Def.Types_s.nat32",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Words_s.nat32",
"Vale.Def.Words_s.__proj__Mkfour__item__lo1",
"Vale.Def.Words_s.__proj__Mkfour__item__hi2",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Def.Words_s.four",
"Vale.Def.Words.Four_s.four_map",
"Vale.PPC64LE.Machine_s.nat32",
"Vale.Arch.Types.ishr32",
"Vale.Arch.Types.ishl32",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_qcode_ShiftLeft2_128_1 (va_mods: va_mods_t) (lo hi: poly)
: (va_quickCode unit (va_code_ShiftLeft2_128_1 ())) | [] | Vale.AES.PPC64LE.GF128_Mul.va_qcode_ShiftLeft2_128_1 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
lo: Vale.Math.Poly2_s.poly ->
hi: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1 ()) | {
"end_col": 22,
"end_line": 150,
"start_col": 2,
"start_line": 105
} |
Prims.Ghost | val va_wpProof_ReduceMulRev128 : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ReduceMulRev128 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceMulRev128 ()) ([va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.Types_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let va_wpProof_ReduceMulRev128 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceMulRev128 (va_code_ReduceMulRev128 ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | val va_wpProof_ReduceMulRev128 : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ReduceMulRev128 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceMulRev128 ()) ([va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_ReduceMulRev128 a b va_s0 va_k = | false | null | false | let va_sM, va_f0 = va_lemma_ReduceMulRev128 (va_code_ReduceMulRev128 ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 6
va_sM
(va_update_vec 5
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([
va_Mod_vec 6;
va_Mod_vec 5;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_reg 10
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "Vale.AES.PPC64LE.GF128_Mul.fst.checked",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GF128_Mul.fst"
} | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GF128_Mul.va_lemma_ReduceMulRev128",
"Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128"
] | [] | module Vale.AES.PPC64LE.GF128_Mul
open Vale.Def.Types_s
open Vale.Arch.Types
open Vale.Arch.TypesNative
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.Types_helpers
open Vale.AES.GHash_BE
//-- ShiftLeft128_1
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft128_1 () =
(va_Block (va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 2) 1) (va_CCons (va_code_Vsl
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ()))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft128_1 () =
(va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 2) 1) (va_pbool_and
(va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft128_1 (va_mods:va_mods_t) (a:poly) : (va_quickCode unit
(va_code_ShiftLeft128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 60 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 2) 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 61 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg5:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 63 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_left_1 va_arg5) (va_QEmpty (()))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft128_1 va_b0 va_s0 a =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft128_1 va_mods a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 49 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 58 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.shift a 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft128_1 a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft128_1 (va_code_ShiftLeft128_1 ()) va_s0 a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- ShiftLeft2_128_1
val va_code_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ShiftLeft2_128_1 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_LoadImm64
(va_op_reg_opr_reg 10) 31) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg
10)) (va_CCons (va_code_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4)
(va_CCons (va_code_Vspltisb (va_op_vec_opr_vec 0) 1) (va_CCons (va_code_Vsl (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_CCons (va_code_Vxor (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_CNil ())))))))))))
val va_codegen_success_ShiftLeft2_128_1 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ShiftLeft2_128_1 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 3) 4) (va_pbool_and (va_codegen_success_Vspltisb (va_op_vec_opr_vec 0) 1)
(va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vsl (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_Vxor
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ShiftLeft2_128_1 (va_mods:va_mods_t) (lo:poly) (hi:poly) : (va_quickCode unit
(va_code_ShiftLeft2_128_1 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 83 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 84 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 31) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 85 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 86 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsrw (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 87 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 3) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 88 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisb (va_op_vec_opr_vec 0) 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 89 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 90 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsl (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 91 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vxor (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (l:(Vale.Def.Words_s.four Vale.Def.Words_s.nat32)) =
Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun (i:nat32) ->
Vale.Arch.Types.ishl32 i 1) (va_get_vec 2 va_old_s) in let (r:(Vale.Def.Words_s.four
Vale.Def.Words_s.nat32)) = Vale.Def.Words.Four_s.four_map #nat32 #Vale.Def.Words_s.nat32 (fun
(i:nat32) -> Vale.Arch.Types.ishr32 i 31) (va_get_vec 2 va_old_s) in let
(va_arg22:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg21:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 95 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg21 va_arg22) (let
(va_arg20:Vale.Def.Types_s.quad32) = va_get_vec 3 va_s in let
(va_arg19:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0
(Vale.Def.Words_s.__proj__Mkfour__item__lo0 r) (Vale.Def.Words_s.__proj__Mkfour__item__lo1 r)
(Vale.Def.Words_s.__proj__Mkfour__item__hi2 r) in let (va_arg18:Vale.Def.Types_s.quad32) = l in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 96 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_associates va_arg18 va_arg19 va_arg20)
(let (va_arg17:Vale.Math.Poly2_s.poly) = hi in let (va_arg16:Vale.Math.Poly2_s.poly) = lo in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 98 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_shift_2_left_1 va_arg16 va_arg17) (va_QEmpty
(())))))))))))))))
val va_lemma_ShiftLeft2_128_1 : va_b0:va_code -> va_s0:va_state -> lo:poly -> hi:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ShiftLeft2_128_1 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let n = Vale.Math.Poly2_s.monomial 128 in let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul
hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))
[@"opaque_to_smt"]
let va_lemma_ShiftLeft2_128_1 va_b0 va_s0 lo hi =
let (va_mods:va_mods_t) = [va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok] in
let va_qc = va_qcode_ShiftLeft2_128_1 va_mods lo hi in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ShiftLeft2_128_1 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 66 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 77 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let n = Vale.Math.Poly2_s.monomial 128 in label va_range1
"***** POSTCONDITION NOT MET AT line 78 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let a = Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in label va_range1
"***** POSTCONDITION NOT MET AT line 79 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(let b = Vale.Math.Poly2_s.shift a 1 in label va_range1
"***** POSTCONDITION NOT MET AT line 80 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n)) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 81 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10;
va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ShiftLeft2_128_1 (lo:poly) (hi:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree hi < 127 /\ Vale.Math.Poly2_s.degree lo <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ (forall (va_x_r10:nat64) (va_x_v0:quad32)
(va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32) . let va_sM = va_upd_vec 3 va_x_v3
(va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10
va_s0)))) in va_get_ok va_sM /\ (let n = Vale.Math.Poly2_s.monomial 128 in let a =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul hi n) lo in let b = Vale.Math.Poly2_s.shift a 1 in
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mod b n) /\
va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.div b n)) ==> va_k
va_sM (())))
val va_wpProof_ShiftLeft2_128_1 : lo:poly -> hi:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ShiftLeft2_128_1 lo hi va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ShiftLeft2_128_1 lo hi va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ShiftLeft2_128_1 (va_code_ShiftLeft2_128_1 ()) va_s0 lo hi in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10])
va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ShiftLeft2_128_1 (lo:poly) (hi:poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1
())) =
(va_QProc (va_code_ShiftLeft2_128_1 ()) ([va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0;
va_Mod_reg 10]) (va_wp_ShiftLeft2_128_1 lo hi) (va_wpProof_ShiftLeft2_128_1 lo hi))
//--
//-- ClmulRev64High
val va_code_ClmulRev64High : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev64High () =
(va_Block (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_ShiftLeft128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev64High : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev64High () =
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ShiftLeft128_1 ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev64High (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ClmulRev64High ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(va_arg18:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 116 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg18) (let
(va_arg17:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 117 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg17) (let
(va_arg16:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 118 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg16 64) (let
(va_arg15:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 119 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg15 64) (let
(va_arg14:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 120 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg14 64) (let
(va_arg13:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 121 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg13 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 122 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 123 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft128_1 (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse a 63)
(Vale.Math.Poly2_s.reverse b 63))) (fun (va_s:va_state) _ -> let
(va_arg12:Vale.Math.Poly2_s.poly) = b in let (va_arg11:Vale.Math.Poly2_s.poly) = a in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 125 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg11 va_arg12 63)
(va_QEmpty (()))))))))))))
val va_lemma_ClmulRev64High : va_b0:va_code -> va_s0:va_state -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ClmulRev64High ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127) /\ va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1
va_sM (va_update_ok va_sM va_s0)))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev64High va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev64High va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev64High ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 101 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 114 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.Math.Poly2_s.mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_ClmulRev64High (a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) :
Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 63 /\ Vale.Math.Poly2_s.degree b <= 63 /\
Vale.Math.Poly2_s.reverse a 63 == Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_hi (va_get_vec 1 va_s0)) /\ Vale.Math.Poly2_s.reverse b 63 ==
Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_hi (va_get_vec 2 va_s0)) /\
l_or (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo (va_get_vec 1
va_s0)) == zero) (Vale.Math.Poly2.Bits_s.of_double32 (Vale.Arch.Types.quad32_double_lo
(va_get_vec 2 va_s0)) == zero) /\ (forall (va_x_v1:quad32) (va_x_v2:quad32) . let va_sM =
va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1 va_s0) in va_get_ok va_sM /\ va_get_vec 1 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul a b) 127)
==> va_k va_sM (())))
val va_wpProof_ClmulRev64High : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ClmulRev64High a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev64High ()) ([va_Mod_vec 2;
va_Mod_vec 1]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev64High a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ClmulRev64High (va_code_ClmulRev64High ()) va_s0 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_ok va_sM
va_s0))));
va_lemma_norm_mods ([va_Mod_vec 2; va_Mod_vec 1]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev64High (a:poly) (b:poly) : (va_quickCode unit (va_code_ClmulRev64High ())) =
(va_QProc (va_code_ClmulRev64High ()) ([va_Mod_vec 2; va_Mod_vec 1]) (va_wp_ClmulRev64High a b)
(va_wpProof_ClmulRev64High a b))
//--
//-- High64ToLow
[@ "opaque_to_smt"]
let va_code_High64ToLow dst src =
(va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))
[@ "opaque_to_smt"]
let va_codegen_success_High64ToLow dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))
[@"opaque_to_smt"]
let va_lemma_High64ToLow va_b0 va_s0 dst src a =
va_reveal_opaque (`%va_code_High64ToLow) (va_code_High64ToLow 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_Vsldoi (va_hd va_b1) va_s0 dst (va_op_vec_opr_vec 0) src 8 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_quad32_double_shift a;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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_High64ToLow dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_High64ToLow (va_code_High64ToLow dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Low64ToHigh
[@ "opaque_to_smt" va_qattr]
let va_code_Low64ToHigh dst src =
(va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Low64ToHigh dst src =
(va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Low64ToHigh (va_mods:va_mods_t) (dst:vec_opr) (src:vec_opr) (a:poly) : (va_quickCode
unit (va_code_Low64ToHigh dst src)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 156 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (fun (va_s:va_state) _ -> let
(va_arg4:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 157 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_shift va_arg4) (va_QEmpty (())))))
[@"opaque_to_smt"]
let va_lemma_Low64ToHigh va_b0 va_s0 dst src a =
let (va_mods:va_mods_t) = [va_Mod_ok; va_mod_vec_opr dst] in
let va_qc = va_qcode_Low64ToHigh va_mods dst src a in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Low64ToHigh dst src) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 144 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 154 column 66 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod a (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_ok; va_mod_vec_opr dst]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Low64ToHigh dst src a va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Low64ToHigh (va_code_Low64ToHigh dst src) va_s0 dst src a in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- AddPoly
val va_code_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr
-> Tot va_code
[@ "opaque_to_smt"]
let va_code_AddPoly dst src1 src2 =
(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))
val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_AddPoly dst src1 src2 =
(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))
val va_lemma_AddPoly : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr ->
src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> a:poly -> b:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_AddPoly dst src1 src2) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\ va_eval_vec_opr va_s0
src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2 ==
Vale.Math.Poly2.Bits_s.to_quad32 b))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) /\
va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_AddPoly va_b0 va_s0 dst src1 src2 a b =
va_reveal_opaque (`%va_code_AddPoly) (va_code_AddPoly dst src1 src2);
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_Vxor (va_hd va_b1) va_s0 dst src1 src2 in
let va_b2 = va_tl va_b1 in
Vale.Math.Poly2.Words.lemma_add128 a b;
let (va_sM, va_f2) = va_lemma_empty_total va_s2 va_b2 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)
[@ va_qattr]
let va_wp_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_is_src_vec_opr src1 va_s0 /\ va_is_src_vec_opr src2 va_s0 /\
va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree a <= 127 /\ Vale.Math.Poly2_s.degree b <= 127 /\
va_eval_vec_opr va_s0 src1 == Vale.Math.Poly2.Bits_s.to_quad32 a /\ va_eval_vec_opr va_s0 src2
== Vale.Math.Poly2.Bits_s.to_quad32 b /\ (forall (va_x_dst:va_value_vec_opr) . let va_sM =
va_upd_operand_vec_opr dst va_x_dst va_s0 in va_get_ok va_sM /\ va_eval_vec_opr va_sM dst ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add a b) ==> va_k va_sM (())))
val va_wpProof_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr ->
src2:va_operand_vec_opr -> a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_AddPoly dst src1 src2 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddPoly dst src1 src2)
([va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_AddPoly dst src1 src2 a b va_s0 va_k =
let (va_sM, va_f0) = va_lemma_AddPoly (va_code_AddPoly dst src1 src2) va_s0 dst src1 src2 a b in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_vec_opr dst va_sM va_s0)));
va_lemma_norm_mods ([va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_AddPoly (dst:va_operand_vec_opr) (src1:va_operand_vec_opr) (src2:va_operand_vec_opr)
(a:poly) (b:poly) : (va_quickCode unit (va_code_AddPoly dst src1 src2)) =
(va_QProc (va_code_AddPoly dst src1 src2) ([va_mod_vec_opr dst]) (va_wp_AddPoly dst src1 src2 a
b) (va_wpProof_AddPoly dst src1 src2 a b))
//--
//-- Clmul128
val va_code_Clmul128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Clmul128 () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
4) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 3)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_CCons (va_code_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))
val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Clmul128 () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Low64ToHigh
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_High64ToLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Clmul128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_Clmul128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(n:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (a:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.div ab n in let (b:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div cd n in let (d:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.mod cd n in let (ac:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a c in
let (ad:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul a d in let (bc:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul b c in let (bd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul b d in
let (ab_sw:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap ab 64 in let
(ab_hi:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ab n in let
(ab_lo:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ab n) n in let
(va_arg77:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg77) (let
(va_arg76:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 203 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg76) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 205 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 1)) (fun (va_s:va_state) _ -> let
(va_arg75:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 207 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg75) (let
(va_arg74:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg74) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double ab_sw) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 210 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3) ab_sw) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 211 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 3) ab_sw) (fun (va_s:va_state) _
-> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 4 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_hi) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 213 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 5 va_s == Vale.Math.Poly2.Bits_s.to_quad32 ab_lo) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 215 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 217 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_hi) (let
(va_arg73:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab_hi n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg73) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 219 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_hi 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 220 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 222 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 ab_lo) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ab n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 223 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg72 n) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_lo 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 225 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 227 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg71) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_sw 64) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_sw 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg70 64) (let
(va_arg69:Vale.Math.Poly2_s.poly) = cd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 232 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) == Vale.Math.Poly2_s.add ad bc) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 234 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod ab_hi 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = ab in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 235 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg68 n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 236 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) == bd) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 238 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div ab_lo 64) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 239 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == ac) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 241 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 242 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_distribute ad bc n) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod bc n in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 243 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left va_arg66 va_arg67 n)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 244 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n) (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n))) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 246 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 3) (Vale.Math.Poly2_s.add ad
bc)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 247 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_div_distribute ad bc n) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 248 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_s == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 250 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)
(Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc n) n)) bd) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 251 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2) ac
(Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.div ad n) (Vale.Math.Poly2_s.div bc n))) (fun
(va_s:va_state) _ -> let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 253 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg64 va_arg65) (let
(va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div ad n in let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div bc n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 254 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate ac va_arg62 va_arg63) (let (hi:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add ac (Vale.Math.Poly2_s.div bc n))
(Vale.Math.Poly2_s.div ad n) in let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod bc n) n in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.mod ad n) n in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 256 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg60 va_arg61) (let (lo:poly) =
Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod bc
n) n) (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.mod ad n) n)) bd in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 259 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_mul a b c d 64) (va_QEmpty ((lo,
hi))))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Clmul128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_Clmul128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec
4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_ok va_sM va_s0)))))))))
[@"opaque_to_smt"]
let va_lemma_Clmul128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Clmul128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Clmul128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 174 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 184 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 185 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi < 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 186 column 47 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 187 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 188 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_Clmul128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) -> Type0))
: Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 ab /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 cd /\ (forall (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let
va_sM = va_upd_vec 5 va_x_v5 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 va_s0))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi < 127 /\
Vale.Math.Poly2_s.mul ab cd == Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo /\
va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo /\ va_get_vec 2 va_sM ==
Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_Clmul128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly & poly)
-> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_Clmul128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Clmul128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM,
va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Clmul128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_Clmul128 (va_code_Clmul128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Clmul128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ())) =
(va_QProc (va_code_Clmul128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0]) (va_wp_Clmul128 ab cd) (va_wpProof_Clmul128 ab cd))
//--
//-- ClmulRev128
val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_ClmulRev128 () =
(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))
val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ClmulRev128 () =
(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1
()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ClmulRev128 (va_mods:va_mods_t) (ab:poly) (cd:poly) : (va_quickCode (poly & poly)
(va_code_ClmulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 279 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Clmul128 (Vale.Math.Poly2_s.reverse ab 127) (Vale.Math.Poly2_s.reverse cd 127)) (fun
(va_s:va_state) va_g -> let (lo, hi) = va_g in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 280 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ShiftLeft2_128_1 lo hi) (fun (va_s:va_state) _ -> let (m:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2_s.add (Vale.Math.Poly2_s.shift hi 128) lo) 1 in let
(va_arg13:Vale.Math.Poly2_s.poly) = lo in let (va_arg12:Vale.Math.Poly2_s.poly) = hi in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg12 va_arg13 128) (va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 284 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_split_define m 128) (let (lo:poly) =
Vale.Math.Poly2_s.mod m (Vale.Math.Poly2_s.monomial 128) in let (hi:poly) =
Vale.Math.Poly2_s.div m (Vale.Math.Poly2_s.monomial 128) in let
(va_arg11:Vale.Math.Poly2_s.poly) = cd in let (va_arg10:Vale.Math.Poly2_s.poly) = ab in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 287 column 30 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1 va_arg10 va_arg11 127)
(va_QEmpty ((lo, hi)))))))))
val va_lemma_ClmulRev128 : va_b0:va_code -> va_s0:va_state -> ab:poly -> cd:poly
-> Ghost (va_state & va_fuel & poly & poly)
(requires (va_require_total va_b0 (va_code_ClmulRev128 ()) va_s0 /\ va_get_ok va_s0 /\
Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\ va_get_vec 1 va_s0
== Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\ va_get_vec 2 va_s0 ==
Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127)))
(ensures (fun (va_sM, va_fM, lo, hi) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok
va_sM /\ Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi /\ va_state_eq va_sM
(va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))
[@"opaque_to_smt"]
let va_lemma_ClmulRev128 va_b0 va_s0 ab cd =
let (va_mods:va_mods_t) = [va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ClmulRev128 va_mods ab cd in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ClmulRev128 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let (lo, hi) = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 262 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 273 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree lo <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 274 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.degree hi <= 127) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 275 column 61 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 276 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 lo) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 277 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
let (lo, hi) = va_g in
(va_sM, va_fM, lo, hi)
[@ va_qattr]
let va_wp_ClmulRev128 (ab:poly) (cd:poly) (va_s0:va_state) (va_k:(va_state -> (poly & poly) ->
Type0)) : Type0 =
(va_get_ok va_s0 /\ Vale.Math.Poly2_s.degree ab <= 127 /\ Vale.Math.Poly2_s.degree cd <= 127 /\
va_get_vec 1 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse ab 127) /\
va_get_vec 2 va_s0 == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse cd 127) /\
(forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32) (va_x_v3:quad32)
(va_x_v4:quad32) (va_x_v5:quad32) (lo:poly) (hi:poly) . let va_sM = va_upd_vec 5 va_x_v5
(va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 1 va_x_v1
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))) in va_get_ok va_sM /\
Vale.Math.Poly2_s.degree lo <= 127 /\ Vale.Math.Poly2_s.degree hi <= 127 /\
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul ab cd) 255 == Vale.Math.Poly2_s.add
(Vale.Math.Poly2_s.shift hi 128) lo /\ va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32
lo /\ va_get_vec 2 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 hi ==> va_k va_sM ((lo, hi))))
val va_wpProof_ClmulRev128 : ab:poly -> cd:poly -> va_s0:va_state -> va_k:(va_state -> (poly &
poly) -> Type0)
-> Ghost (va_state & va_fuel & (poly & poly))
(requires (va_t_require va_s0 /\ va_wp_ClmulRev128 ab cd va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ClmulRev128 ()) ([va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_ClmulRev128 ab cd va_s0 va_k =
let (va_sM, va_f0, lo, hi) = va_lemma_ClmulRev128 (va_code_ClmulRev128 ()) va_s0 ab cd in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM
(va_update_ok va_sM va_s0)))))))));
va_lemma_norm_mods ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1;
va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = (lo, hi) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_ClmulRev128 (ab:poly) (cd:poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128
())) =
(va_QProc (va_code_ClmulRev128 ()) ([va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_ClmulRev128 ab cd) (va_wpProof_ClmulRev128
ab cd))
//--
//-- Gf128ModulusRev
val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code
[@ "opaque_to_smt"]
let va_code_Gf128ModulusRev dst =
(va_Block (va_CCons (va_code_Vxor dst dst dst) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-7936)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_CCons
(va_code_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_CNil ()))))))
val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool
[@ "opaque_to_smt"]
let va_codegen_success_Gf128ModulusRev dst =
(va_pbool_and (va_codegen_success_Vxor dst dst dst) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-7936)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 3) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 3) dst 12) (va_ttrue ())))))
val va_lemma_Gf128ModulusRev : va_b0:va_code -> va_s0:va_state -> dst:va_operand_vec_opr
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Gf128ModulusRev dst) va_s0 /\ va_is_dst_vec_opr dst
va_s0 /\ va_get_ok va_s0 /\ dst =!= 3))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero /\ va_state_eq va_sM
(va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_operand_vec_opr
dst va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Gf128ModulusRev va_b0 va_s0 dst =
va_reveal_opaque (`%va_code_Gf128ModulusRev) (va_code_Gf128ModulusRev dst);
let (va_old_s:va_state) = va_s0 in
let (va_b1:va_codes) = va_get_block va_b0 in
Vale.AES.GF128.lemma_gf128_constant_rev (va_eval_vec_opr va_s0 dst);
let (va_s3, va_fc3) = va_lemma_Vxor (va_hd va_b1) va_s0 dst dst dst in
let va_b3 = va_tl va_b1 in
let (va_s4, va_fc4) = va_lemma_LoadImmShl64 (va_hd va_b3) va_s3 (va_op_reg_opr_reg 10) (-7936) in
let va_b4 = va_tl va_b3 in
Vale.AES.Types_helpers.lemma_ishl_64 ((-7936) `op_Modulus` pow2_64) 16;
let (va_s6, va_fc6) = va_lemma_Mtvsrws (va_hd va_b4) va_s4 (va_op_vec_opr_vec 3)
(va_op_reg_opr_reg 10) in
let va_b6 = va_tl va_b4 in
let (va_s7, va_fc7) = va_lemma_Vsldoi (va_hd va_b6) va_s6 dst (va_op_vec_opr_vec 3) dst 12 in
let va_b7 = va_tl va_b6 in
Vale.Math.Poly2.Lemmas.lemma_split_define (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127)
64;
Vale.Math.Poly2.Lemmas.lemma_index_all ();
Vale.Math.Poly2.Lemmas.lemma_reverse_define_all ();
Vale.Math.Poly2.lemma_equal (Vale.Math.Poly2_s.mod (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) (Vale.Math.Poly2_s.monomial 64)) zero;
Vale.Math.Poly2.Bits.lemma_quad32_double (Vale.Math.Poly2_s.reverse gf128_modulus_low_terms 127);
let (va_sM, va_f7) = va_lemma_empty_total va_s7 va_b7 in
let va_f6 = va_lemma_merge_total va_b6 va_s6 va_fc7 va_s7 va_f7 va_sM in
let va_f4 = va_lemma_merge_total va_b4 va_s4 va_fc6 va_s6 va_f6 va_sM in
let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in
let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc3 va_s3 va_f3 va_sM in
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Gf128ModulusRev (dst:va_operand_vec_opr) (va_s0:va_state) (va_k:(va_state -> unit ->
Type0)) : Type0 =
(va_is_dst_vec_opr dst va_s0 /\ va_get_ok va_s0 /\ dst =!= 3 /\ (forall
(va_x_dst:va_value_vec_opr) (va_x_r10:nat64) (va_x_v3:quad32) . let va_sM = va_upd_vec 3
va_x_v3 (va_upd_reg 10 va_x_r10 (va_upd_operand_vec_opr dst va_x_dst va_s0)) in va_get_ok va_sM
/\ va_eval_vec_opr va_sM dst == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
gf128_modulus_low_terms 127) /\ Vale.Math.Poly2.Bits_s.of_double32
(Vale.Arch.Types.quad32_double_lo (va_eval_vec_opr va_sM dst)) == zero ==> va_k va_sM (())))
val va_wpProof_Gf128ModulusRev : dst:va_operand_vec_opr -> va_s0:va_state -> va_k:(va_state -> unit
-> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Gf128ModulusRev dst va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3;
va_Mod_reg 10; va_mod_vec_opr dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Gf128ModulusRev dst va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Gf128ModulusRev (va_code_Gf128ModulusRev dst) va_s0 dst in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 3 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_operand_vec_opr dst va_sM va_s0)))));
va_lemma_norm_mods ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Gf128ModulusRev (dst:va_operand_vec_opr) : (va_quickCode unit (va_code_Gf128ModulusRev
dst)) =
(va_QProc (va_code_Gf128ModulusRev dst) ([va_Mod_vec 3; va_Mod_reg 10; va_mod_vec_opr dst])
(va_wp_Gf128ModulusRev dst) (va_wpProof_Gf128ModulusRev dst))
//--
//-- ReduceMulRev128
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceMulRev128 () =
(va_Block (va_CCons (va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons
(va_code_ClmulRev128 ()) (va_CCons (va_code_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2))
(va_CCons (va_code_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_CCons (va_code_ClmulRev64High ())
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5))
(va_CCons (va_code_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_CNil ())))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceMulRev128 () =
(va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and (va_codegen_success_Vmr
(va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_Gf128ModulusRev
(va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_ClmulRev128 ()) (va_pbool_and
(va_codegen_success_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_ClmulRev64High ()) (va_pbool_and (va_codegen_success_AddPoly
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6))
(va_ttrue ()))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceMulRev128 (va_mods:va_mods_t) (a:poly) (b:poly) : (va_quickCode unit
(va_code_ReduceMulRev128 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 329 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (let (va_arg31:Vale.Math.Poly2_s.poly) =
b in let (va_arg30:Vale.Math.Poly2_s.poly) = a in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 330 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_reduce_rev va_arg30 va_arg31
gf128_modulus_low_terms 128) (let (m:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 128
in let (h:Vale.Math.Poly2_s.poly) = gf128_modulus_low_terms in let (ab:Vale.Math.Poly2_s.poly)
= Vale.Math.Poly2_s.mul a b in let (rh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse h
127 in let (rab:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse ab 255 in let
(rd:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rab m in let (rdh:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.reverse rd 127) h) 255 in
let (rdhL:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod rdh m in let
(rdhLh:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.reverse rdhL 127) h) 127 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 341 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 a b) (fun (va_s:va_state) va_g -> let ((lo1:poly), (hi1:poly)) = va_g in
let (va_arg29:Vale.Math.Poly2_s.poly) = lo1 in let (va_arg28:Vale.Math.Poly2_s.poly) = hi1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 342 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg28 va_arg29 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 343 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 345 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 346 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev128 (Vale.Math.Poly2_s.reverse rd 127) h) (fun (va_s:va_state) va_g -> let
((lo2:poly), (hi2:poly)) = va_g in let (va_arg27:Vale.Math.Poly2_s.poly) = lo2 in let
(va_arg26:Vale.Math.Poly2_s.poly) = hi2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 347 column 25 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_combine_define va_arg26 va_arg27 128) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 348 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Vmr (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 350 column 20 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_Gf128ModulusRev (va_op_vec_opr_vec 2)) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 352 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rdhL) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 353 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_quad32_double_hi_rev rh) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 354 column 19 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_ClmulRev64High (Vale.Math.Poly2_s.reverse rdhL 127) h) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 356 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 5) rdhLh
(Vale.Math.Poly2_s.div rdh m)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 357 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_quick_AddPoly (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 6)
(Vale.Math.Poly2_s.add rdhLh (Vale.Math.Poly2_s.div rdh m)) (Vale.Math.Poly2_s.div rab m))
(va_QEmpty (()))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceMulRev128 va_b0 va_s0 a b =
let (va_mods:va_mods_t) = [va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_ReduceMulRev128 va_mods a b in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceMulRev128 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 315 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 327 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GF128_Mul.vaf *****"
(va_get_vec 1 va_sM == Vale.Math.Poly2.Bits_s.to_quad32 (Vale.Math.Poly2_s.reverse
(Vale.AES.GF128_s.gf128_mul a b) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | false | false | Vale.AES.PPC64LE.GF128_Mul.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val va_wpProof_ReduceMulRev128 : a:poly -> b:poly -> va_s0:va_state -> va_k:(va_state -> unit ->
Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ReduceMulRev128 a b va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceMulRev128 ()) ([va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | [] | Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ReduceMulRev128 | {
"file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} |
a: Vale.Math.Poly2_s.poly ->
b: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | {
"end_col": 22,
"end_line": 1067,
"start_col": 47,
"start_line": 1058
} |
FStar.All.ML | val choose_one (a b: option 'a) : ML (option 'a) | [
{
"abbrev": true,
"full_module": "Hashtable",
"short_module": "H"
},
{
"abbrev": false,
"full_module": "FStar.All",
"short_module": null
},
{
"abbrev": false,
"full_module": "Ast",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let choose_one (a b:option 'a) : ML (option 'a) =
match a, b with
| Some fc, _
| _, Some fc -> Some fc
| _ -> None | val choose_one (a b: option 'a) : ML (option 'a)
let choose_one (a b: option 'a) : ML (option 'a) = | true | null | false | match a, b with
| Some fc, _ | _, Some fc -> Some fc
| _ -> None | {
"checked_file": "InlineSingletonRecords.fst.checked",
"dependencies": [
"prims.fst.checked",
"Options.fsti.checked",
"Hashtable.fsti.checked",
"FStar.Printf.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.fst.checked",
"FStar.All.fst.checked",
"Ast.fst.checked"
],
"interface_file": false,
"source_file": "InlineSingletonRecords.fst"
} | [
"ml"
] | [
"FStar.Pervasives.Native.option",
"FStar.Pervasives.Native.Mktuple2",
"FStar.Pervasives.Native.Some",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.None"
] | [] | (*
Copyright 2019 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 InlineSingletonRecords
open Ast
open FStar.All
module H = Hashtable
type singleton_record = list param & atomic_field
let env = H.t ident' singleton_record
(*
This module implements a pass over the source AST
1. Inlining records that contain only a single field
2. Inlining enumerated types that have dependences
Both of these are necessary to avoid double fetches
*) | false | false | InlineSingletonRecords.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val choose_one (a b: option 'a) : ML (option 'a) | [] | InlineSingletonRecords.choose_one | {
"file_name": "src/3d/InlineSingletonRecords.fst",
"git_rev": "446a08ce38df905547cf20f28c43776b22b8087a",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | a: FStar.Pervasives.Native.option 'a -> b: FStar.Pervasives.Native.option 'a
-> FStar.All.ML (FStar.Pervasives.Native.option 'a) | {
"end_col": 13,
"end_line": 37,
"start_col": 2,
"start_line": 34
} |
Prims.Tot | [
{
"abbrev": true,
"full_module": "Hashtable",
"short_module": "H"
},
{
"abbrev": false,
"full_module": "FStar.All",
"short_module": null
},
{
"abbrev": false,
"full_module": "Ast",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let env = H.t ident' singleton_record | let env = | false | null | false | H.t ident' singleton_record | {
"checked_file": "InlineSingletonRecords.fst.checked",
"dependencies": [
"prims.fst.checked",
"Options.fsti.checked",
"Hashtable.fsti.checked",
"FStar.Printf.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.fst.checked",
"FStar.All.fst.checked",
"Ast.fst.checked"
],
"interface_file": false,
"source_file": "InlineSingletonRecords.fst"
} | [
"total"
] | [
"Hashtable.t",
"Ast.ident'",
"InlineSingletonRecords.singleton_record"
] | [] | (*
Copyright 2019 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 InlineSingletonRecords
open Ast
open FStar.All
module H = Hashtable | false | true | InlineSingletonRecords.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val env : Type0 | [] | InlineSingletonRecords.env | {
"file_name": "src/3d/InlineSingletonRecords.fst",
"git_rev": "446a08ce38df905547cf20f28c43776b22b8087a",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | Type0 | {
"end_col": 37,
"end_line": 21,
"start_col": 10,
"start_line": 21
} |
|
FStar.All.ALL | [
{
"abbrev": true,
"full_module": "Hashtable",
"short_module": "H"
},
{
"abbrev": false,
"full_module": "FStar.All",
"short_module": null
},
{
"abbrev": false,
"full_module": "Ast",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let simplify_prog (p:list decl) =
let env = H.create 10 in
List.map (simplify_decl env) p | let simplify_prog (p: list decl) = | true | null | false | let env = H.create 10 in
List.map (simplify_decl env) p | {
"checked_file": "InlineSingletonRecords.fst.checked",
"dependencies": [
"prims.fst.checked",
"Options.fsti.checked",
"Hashtable.fsti.checked",
"FStar.Printf.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.fst.checked",
"FStar.All.fst.checked",
"Ast.fst.checked"
],
"interface_file": false,
"source_file": "InlineSingletonRecords.fst"
} | [] | [
"Prims.list",
"Ast.decl",
"FStar.List.map",
"InlineSingletonRecords.simplify_decl",
"Hashtable.t",
"Ast.ident'",
"InlineSingletonRecords.singleton_record",
"Hashtable.create"
] | [] | (*
Copyright 2019 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 InlineSingletonRecords
open Ast
open FStar.All
module H = Hashtable
type singleton_record = list param & atomic_field
let env = H.t ident' singleton_record
(*
This module implements a pass over the source AST
1. Inlining records that contain only a single field
2. Inlining enumerated types that have dependences
Both of these are necessary to avoid double fetches
*)
let choose_one (a b:option 'a) : ML (option 'a) =
match a, b with
| Some fc, _
| _, Some fc -> Some fc
| _ -> None
let simplify_atomic_field (env:env) (f:atomic_field)
: ML atomic_field
= let field = f.v in
let field =
match field.field_type.v with
| Pointer _ -> failwith "Impossible: field types cannot be pointers"
| Type_app hd _ args ->
begin
match H.try_find env hd.v with
| None -> //not a singleton record
field
| Some (params, inlined_field) ->
match field.field_array_opt, field.field_bitwidth with
| FieldArrayQualified _, _
| FieldString _, _
| _, Some _ -> //cannot be inlined
field
| _ ->
let subst =
List.map2
(fun (_t, x, _q) e ->
match e with
| Inr _ -> failwith "Cannot inline singleton records with output type parameters"
| Inl e -> (x, e))
params args
in
let subst = (inlined_field.v.field_ident, with_dummy_range (Identifier field.field_ident)) :: subst in
let inlined_field = subst_atomic_field (mk_subst subst) inlined_field in
let error msg =
let msg =
Printf.sprintf "Other types depend on the value of this field, but this field cannot be read because %s"
msg
in
error msg f.range
in
match field, inlined_field.v with
| { field_action = Some _ }, { field_action = Some _ } ->
error "it has multiple actions"
| { field_constraint = Some _ }, { field_action = Some _ } ->
error "reading it would alter the order of evaluation of refinement and action"
| { field_array_opt = FieldArrayQualified _ }, _
| _, { field_array_opt = FieldArrayQualified _ } ->
error "it contains an array"
| { field_array_opt = FieldString _ }, _
| _, { field_array_opt = FieldString _ } ->
error "it contains a string"
| { field_bitwidth = Some _ }, _
| _, { field_bitwidth = Some _ } ->
error "it contains a bit field"
| _, _ ->
let join_constraints c1 c2 =
match c1, c2 with
| None, None -> None
| Some c, None
| None, Some c -> Some c
| Some c1, Some c2 -> Some (with_dummy_range (App And [c1;c2]))
in
{ field with
field_type = inlined_field.v.field_type;
field_constraint = join_constraints field.field_constraint inlined_field.v.field_constraint;
field_action = choose_one field.field_action inlined_field.v.field_action }
end
in
{ f with v = field }
let rec simplify_field (env:env) (f:field)
: ML field
= match f.v with
| AtomicField f -> { f with v = AtomicField (simplify_atomic_field env f) }
| RecordField fs i -> { f with v = RecordField (List.map (simplify_field env) fs) i }
| SwitchCaseField swc i -> { f with v = SwitchCaseField (simplify_switch_case env swc) i }
and simplify_switch_case (env:env) (swc:switch_case)
: ML switch_case
= let e, cases = swc in
let cases =
List.map
(function Case p f -> Case p (simplify_field env f)
| DefaultCase f -> DefaultCase (simplify_field env f))
cases
in
e, cases
let simplify_decl (env:env) (d:decl) : ML decl =
match d.d_decl.v with
| ModuleAbbrev _ _ ->
d
| Define _ _ _ ->
d
| TypeAbbrev t i ->
d
| Enum t i cases ->
let field_name =
let s =
reserved_prefix ^
"field_name_" ^
i.v.name
in
with_dummy_range (to_ident' s)
in
let exp e = with_dummy_range e in
let constraint =
let constr_opt =
List.fold_right
(fun (i, _) out_opt ->
let eq = with_dummy_range (App Eq [exp <| Identifier i; exp <| Identifier field_name]) in
match out_opt with
| None -> Some eq
| Some out -> Some (with_dummy_range (App Or [eq; out])))
cases
None
in
match constr_opt with
| Some e -> e
| None -> with_dummy_range (Constant (Bool false))
in
let field =
{ field_dependence = false;
field_ident = field_name;
field_type = t;
field_array_opt = FieldScalar;
field_constraint = Some constraint;
field_bitwidth = None;
field_action = None }
in
let af = with_dummy_range field in
Options.debug_print_string
(Printf.sprintf "For Enum %s, inserting field = %s\n"
i.v.name
(print_atomic_field af));
H.insert env i.v ([], af);
d
| Record tdnames params None [{v = AtomicField field; range; comments}] -> //singleton
begin
match field.v with
| { field_array_opt = FieldArrayQualified _ }
| { field_array_opt = FieldString _ }
| { field_bitwidth = Some _ } ->
d
| _ ->
let af = simplify_atomic_field env field in
H.insert env tdnames.typedef_name.v (params, field);
let field = with_range_and_comments (AtomicField af) range comments in
decl_with_v d (Record tdnames params None [field])
end
| Record tdnames params wopt fields ->
let fields = List.map (simplify_field env) fields in
decl_with_v d (Record tdnames params wopt fields)
| CaseType tdnames params switch ->
let switch = simplify_switch_case env switch in
decl_with_v d (CaseType tdnames params switch)
| OutputType _
| ExternType _
| ExternFn _ _ _ -> d | false | false | InlineSingletonRecords.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val simplify_prog : p: Prims.list Ast.decl -> FStar.All.ALL (Prims.list Ast.decl) | [] | InlineSingletonRecords.simplify_prog | {
"file_name": "src/3d/InlineSingletonRecords.fst",
"git_rev": "446a08ce38df905547cf20f28c43776b22b8087a",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | p: Prims.list Ast.decl -> FStar.All.ALL (Prims.list Ast.decl) | {
"end_col": 32,
"end_line": 209,
"start_col": 33,
"start_line": 207
} |
|
FStar.All.ML | val simplify_decl (env: env) (d: decl) : ML decl | [
{
"abbrev": true,
"full_module": "Hashtable",
"short_module": "H"
},
{
"abbrev": false,
"full_module": "FStar.All",
"short_module": null
},
{
"abbrev": false,
"full_module": "Ast",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let simplify_decl (env:env) (d:decl) : ML decl =
match d.d_decl.v with
| ModuleAbbrev _ _ ->
d
| Define _ _ _ ->
d
| TypeAbbrev t i ->
d
| Enum t i cases ->
let field_name =
let s =
reserved_prefix ^
"field_name_" ^
i.v.name
in
with_dummy_range (to_ident' s)
in
let exp e = with_dummy_range e in
let constraint =
let constr_opt =
List.fold_right
(fun (i, _) out_opt ->
let eq = with_dummy_range (App Eq [exp <| Identifier i; exp <| Identifier field_name]) in
match out_opt with
| None -> Some eq
| Some out -> Some (with_dummy_range (App Or [eq; out])))
cases
None
in
match constr_opt with
| Some e -> e
| None -> with_dummy_range (Constant (Bool false))
in
let field =
{ field_dependence = false;
field_ident = field_name;
field_type = t;
field_array_opt = FieldScalar;
field_constraint = Some constraint;
field_bitwidth = None;
field_action = None }
in
let af = with_dummy_range field in
Options.debug_print_string
(Printf.sprintf "For Enum %s, inserting field = %s\n"
i.v.name
(print_atomic_field af));
H.insert env i.v ([], af);
d
| Record tdnames params None [{v = AtomicField field; range; comments}] -> //singleton
begin
match field.v with
| { field_array_opt = FieldArrayQualified _ }
| { field_array_opt = FieldString _ }
| { field_bitwidth = Some _ } ->
d
| _ ->
let af = simplify_atomic_field env field in
H.insert env tdnames.typedef_name.v (params, field);
let field = with_range_and_comments (AtomicField af) range comments in
decl_with_v d (Record tdnames params None [field])
end
| Record tdnames params wopt fields ->
let fields = List.map (simplify_field env) fields in
decl_with_v d (Record tdnames params wopt fields)
| CaseType tdnames params switch ->
let switch = simplify_switch_case env switch in
decl_with_v d (CaseType tdnames params switch)
| OutputType _
| ExternType _
| ExternFn _ _ _ -> d | val simplify_decl (env: env) (d: decl) : ML decl
let simplify_decl (env: env) (d: decl) : ML decl = | true | null | false | match d.d_decl.v with
| ModuleAbbrev _ _ -> d
| Define _ _ _ -> d
| TypeAbbrev t i -> d
| Enum t i cases ->
let field_name =
let s = reserved_prefix ^ "field_name_" ^ i.v.name in
with_dummy_range (to_ident' s)
in
let exp e = with_dummy_range e in
let constraint =
let constr_opt =
List.fold_right (fun (i, _) out_opt ->
let eq =
with_dummy_range (App Eq [exp <| Identifier i; exp <| Identifier field_name])
in
match out_opt with
| None -> Some eq
| Some out -> Some (with_dummy_range (App Or [eq; out])))
cases
None
in
match constr_opt with
| Some e -> e
| None -> with_dummy_range (Constant (Bool false))
in
let field =
{
field_dependence = false;
field_ident = field_name;
field_type = t;
field_array_opt = FieldScalar;
field_constraint = Some constraint;
field_bitwidth = None;
field_action = None
}
in
let af = with_dummy_range field in
Options.debug_print_string (Printf.sprintf "For Enum %s, inserting field = %s\n"
i.v.name
(print_atomic_field af));
H.insert env i.v ([], af);
d
| Record tdnames params None [{ v = AtomicField field ; range = range ; comments = comments }] ->
(match field.v with
| { field_array_opt = FieldArrayQualified _ }
| { field_array_opt = FieldString _ }
| { field_bitwidth = Some _ } -> d
| _ ->
let af = simplify_atomic_field env field in
H.insert env tdnames.typedef_name.v (params, field);
let field = with_range_and_comments (AtomicField af) range comments in
decl_with_v d (Record tdnames params None [field]))
| Record tdnames params wopt fields ->
let fields = List.map (simplify_field env) fields in
decl_with_v d (Record tdnames params wopt fields)
| CaseType tdnames params switch ->
let switch = simplify_switch_case env switch in
decl_with_v d (CaseType tdnames params switch)
| OutputType _ | ExternType _ | ExternFn _ _ _ -> d | {
"checked_file": "InlineSingletonRecords.fst.checked",
"dependencies": [
"prims.fst.checked",
"Options.fsti.checked",
"Hashtable.fsti.checked",
"FStar.Printf.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.fst.checked",
"FStar.All.fst.checked",
"Ast.fst.checked"
],
"interface_file": false,
"source_file": "InlineSingletonRecords.fst"
} | [
"ml"
] | [
"InlineSingletonRecords.env",
"Ast.decl",
"Ast.__proj__Mkwith_meta_t__item__v",
"Ast.decl'",
"Ast.__proj__Mkdecl__item__d_decl",
"Ast.ident",
"FStar.Pervasives.Native.option",
"Ast.typ",
"Ast.constant",
"Prims.list",
"Ast.enum_case",
"Prims.unit",
"Hashtable.insert",
"Ast.ident'",
"InlineSingletonRecords.singleton_record",
"FStar.Pervasives.Native.Mktuple2",
"Ast.param",
"Ast.atomic_field",
"Prims.Nil",
"Options.debug_print_string",
"Prims.string",
"FStar.Printf.sprintf",
"Ast.__proj__Mkident'__item__name",
"Ast.print_atomic_field",
"Ast.with_meta_t",
"Ast.atomic_field'",
"Ast.with_dummy_range",
"Ast.Mkatomic_field'",
"Ast.FieldScalar",
"FStar.Pervasives.Native.Some",
"Ast.expr",
"FStar.Pervasives.Native.None",
"Ast.field_bitwidth_t",
"FStar.Pervasives.Native.tuple2",
"Ast.action",
"Prims.bool",
"Ast.expr'",
"Ast.Constant",
"Ast.Bool",
"FStar.List.fold_right",
"Ast.either",
"Prims.int",
"Ast.App",
"Ast.Or",
"Prims.Cons",
"Ast.Eq",
"FStar.All.op_Less_Bar",
"Ast.Identifier",
"Ast.to_ident'",
"Prims.op_Hat",
"Ast.reserved_prefix",
"Ast.typedef_names",
"Ast.range",
"Ast.comments",
"Ast.array_qualifier",
"Ast.field_array_t",
"Ast.decl_with_v",
"Ast.Record",
"Ast.field'",
"Ast.with_range_and_comments",
"Ast.AtomicField",
"Ast.__proj__Mktypedef_names__item__typedef_name",
"InlineSingletonRecords.simplify_atomic_field",
"Ast.record",
"FStar.List.map",
"InlineSingletonRecords.simplify_field",
"Ast.switch_case",
"Ast.CaseType",
"InlineSingletonRecords.simplify_switch_case",
"Ast.out_typ"
] | [] | (*
Copyright 2019 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 InlineSingletonRecords
open Ast
open FStar.All
module H = Hashtable
type singleton_record = list param & atomic_field
let env = H.t ident' singleton_record
(*
This module implements a pass over the source AST
1. Inlining records that contain only a single field
2. Inlining enumerated types that have dependences
Both of these are necessary to avoid double fetches
*)
let choose_one (a b:option 'a) : ML (option 'a) =
match a, b with
| Some fc, _
| _, Some fc -> Some fc
| _ -> None
let simplify_atomic_field (env:env) (f:atomic_field)
: ML atomic_field
= let field = f.v in
let field =
match field.field_type.v with
| Pointer _ -> failwith "Impossible: field types cannot be pointers"
| Type_app hd _ args ->
begin
match H.try_find env hd.v with
| None -> //not a singleton record
field
| Some (params, inlined_field) ->
match field.field_array_opt, field.field_bitwidth with
| FieldArrayQualified _, _
| FieldString _, _
| _, Some _ -> //cannot be inlined
field
| _ ->
let subst =
List.map2
(fun (_t, x, _q) e ->
match e with
| Inr _ -> failwith "Cannot inline singleton records with output type parameters"
| Inl e -> (x, e))
params args
in
let subst = (inlined_field.v.field_ident, with_dummy_range (Identifier field.field_ident)) :: subst in
let inlined_field = subst_atomic_field (mk_subst subst) inlined_field in
let error msg =
let msg =
Printf.sprintf "Other types depend on the value of this field, but this field cannot be read because %s"
msg
in
error msg f.range
in
match field, inlined_field.v with
| { field_action = Some _ }, { field_action = Some _ } ->
error "it has multiple actions"
| { field_constraint = Some _ }, { field_action = Some _ } ->
error "reading it would alter the order of evaluation of refinement and action"
| { field_array_opt = FieldArrayQualified _ }, _
| _, { field_array_opt = FieldArrayQualified _ } ->
error "it contains an array"
| { field_array_opt = FieldString _ }, _
| _, { field_array_opt = FieldString _ } ->
error "it contains a string"
| { field_bitwidth = Some _ }, _
| _, { field_bitwidth = Some _ } ->
error "it contains a bit field"
| _, _ ->
let join_constraints c1 c2 =
match c1, c2 with
| None, None -> None
| Some c, None
| None, Some c -> Some c
| Some c1, Some c2 -> Some (with_dummy_range (App And [c1;c2]))
in
{ field with
field_type = inlined_field.v.field_type;
field_constraint = join_constraints field.field_constraint inlined_field.v.field_constraint;
field_action = choose_one field.field_action inlined_field.v.field_action }
end
in
{ f with v = field }
let rec simplify_field (env:env) (f:field)
: ML field
= match f.v with
| AtomicField f -> { f with v = AtomicField (simplify_atomic_field env f) }
| RecordField fs i -> { f with v = RecordField (List.map (simplify_field env) fs) i }
| SwitchCaseField swc i -> { f with v = SwitchCaseField (simplify_switch_case env swc) i }
and simplify_switch_case (env:env) (swc:switch_case)
: ML switch_case
= let e, cases = swc in
let cases =
List.map
(function Case p f -> Case p (simplify_field env f)
| DefaultCase f -> DefaultCase (simplify_field env f))
cases
in
e, cases | false | false | InlineSingletonRecords.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val simplify_decl (env: env) (d: decl) : ML decl | [] | InlineSingletonRecords.simplify_decl | {
"file_name": "src/3d/InlineSingletonRecords.fst",
"git_rev": "446a08ce38df905547cf20f28c43776b22b8087a",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | env: InlineSingletonRecords.env -> d: Ast.decl -> FStar.All.ML Ast.decl | {
"end_col": 23,
"end_line": 205,
"start_col": 2,
"start_line": 129
} |
FStar.All.ML | val simplify_atomic_field (env: env) (f: atomic_field) : ML atomic_field | [
{
"abbrev": true,
"full_module": "Hashtable",
"short_module": "H"
},
{
"abbrev": false,
"full_module": "FStar.All",
"short_module": null
},
{
"abbrev": false,
"full_module": "Ast",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let simplify_atomic_field (env:env) (f:atomic_field)
: ML atomic_field
= let field = f.v in
let field =
match field.field_type.v with
| Pointer _ -> failwith "Impossible: field types cannot be pointers"
| Type_app hd _ args ->
begin
match H.try_find env hd.v with
| None -> //not a singleton record
field
| Some (params, inlined_field) ->
match field.field_array_opt, field.field_bitwidth with
| FieldArrayQualified _, _
| FieldString _, _
| _, Some _ -> //cannot be inlined
field
| _ ->
let subst =
List.map2
(fun (_t, x, _q) e ->
match e with
| Inr _ -> failwith "Cannot inline singleton records with output type parameters"
| Inl e -> (x, e))
params args
in
let subst = (inlined_field.v.field_ident, with_dummy_range (Identifier field.field_ident)) :: subst in
let inlined_field = subst_atomic_field (mk_subst subst) inlined_field in
let error msg =
let msg =
Printf.sprintf "Other types depend on the value of this field, but this field cannot be read because %s"
msg
in
error msg f.range
in
match field, inlined_field.v with
| { field_action = Some _ }, { field_action = Some _ } ->
error "it has multiple actions"
| { field_constraint = Some _ }, { field_action = Some _ } ->
error "reading it would alter the order of evaluation of refinement and action"
| { field_array_opt = FieldArrayQualified _ }, _
| _, { field_array_opt = FieldArrayQualified _ } ->
error "it contains an array"
| { field_array_opt = FieldString _ }, _
| _, { field_array_opt = FieldString _ } ->
error "it contains a string"
| { field_bitwidth = Some _ }, _
| _, { field_bitwidth = Some _ } ->
error "it contains a bit field"
| _, _ ->
let join_constraints c1 c2 =
match c1, c2 with
| None, None -> None
| Some c, None
| None, Some c -> Some c
| Some c1, Some c2 -> Some (with_dummy_range (App And [c1;c2]))
in
{ field with
field_type = inlined_field.v.field_type;
field_constraint = join_constraints field.field_constraint inlined_field.v.field_constraint;
field_action = choose_one field.field_action inlined_field.v.field_action }
end
in
{ f with v = field } | val simplify_atomic_field (env: env) (f: atomic_field) : ML atomic_field
let simplify_atomic_field (env: env) (f: atomic_field) : ML atomic_field = | true | null | false | let field = f.v in
let field =
match field.field_type.v with
| Pointer _ -> failwith "Impossible: field types cannot be pointers"
| Type_app hd _ args ->
match H.try_find env hd.v with
| None -> field
| Some (params, inlined_field) ->
match field.field_array_opt, field.field_bitwidth with
| FieldArrayQualified _, _ | FieldString _, _ | _, Some _ -> field
| _ ->
let subst =
List.map2 (fun (_t, x, _q) e ->
match e with
| Inr _ -> failwith "Cannot inline singleton records with output type parameters"
| Inl e -> (x, e))
params
args
in
let subst =
(inlined_field.v.field_ident, with_dummy_range (Identifier field.field_ident)) :: subst
in
let inlined_field = subst_atomic_field (mk_subst subst) inlined_field in
let error msg =
let msg =
Printf.sprintf "Other types depend on the value of this field, but this field cannot be read because %s"
msg
in
error msg f.range
in
match field, inlined_field.v with
| { field_action = Some _ }, { field_action = Some _ } -> error "it has multiple actions"
| { field_constraint = Some _ }, { field_action = Some _ } ->
error "reading it would alter the order of evaluation of refinement and action"
| { field_array_opt = FieldArrayQualified _ }, _
| _, { field_array_opt = FieldArrayQualified _ } -> error "it contains an array"
| { field_array_opt = FieldString _ }, _
| _, { field_array_opt = FieldString _ } -> error "it contains a string"
| { field_bitwidth = Some _ }, _
| _, { field_bitwidth = Some _ } -> error "it contains a bit field"
| _, _ ->
let join_constraints c1 c2 =
match c1, c2 with
| None, None -> None
| Some c, None | None, Some c -> Some c
| Some c1, Some c2 -> Some (with_dummy_range (App And [c1; c2]))
in
{
field with
field_type = inlined_field.v.field_type;
field_constraint
=
join_constraints field.field_constraint inlined_field.v.field_constraint;
field_action = choose_one field.field_action inlined_field.v.field_action
}
in
{ f with v = field } | {
"checked_file": "InlineSingletonRecords.fst.checked",
"dependencies": [
"prims.fst.checked",
"Options.fsti.checked",
"Hashtable.fsti.checked",
"FStar.Printf.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.fst.checked",
"FStar.All.fst.checked",
"Ast.fst.checked"
],
"interface_file": false,
"source_file": "InlineSingletonRecords.fst"
} | [
"ml"
] | [
"InlineSingletonRecords.env",
"Ast.atomic_field",
"Ast.Mkwith_meta_t",
"Ast.atomic_field'",
"Ast.__proj__Mkwith_meta_t__item__range",
"Ast.__proj__Mkwith_meta_t__item__comments",
"Ast.__proj__Mkwith_meta_t__item__v",
"Ast.typ'",
"Ast.__proj__Mkatomic_field'__item__field_type",
"Ast.with_meta_t",
"FStar.All.failwith",
"Ast.ident",
"Ast.t_kind",
"Prims.list",
"Ast.either",
"Ast.expr",
"Ast.out_expr",
"Ast.param",
"FStar.Pervasives.Native.Mktuple2",
"Ast.field_array_t",
"FStar.Pervasives.Native.option",
"Ast.field_bitwidth_t",
"Ast.__proj__Mkatomic_field'__item__field_array_opt",
"Ast.__proj__Mkatomic_field'__item__field_bitwidth",
"FStar.Pervasives.Native.tuple2",
"Ast.array_qualifier",
"Prims.bool",
"Ast.typ",
"Ast.action",
"Ast.Mkatomic_field'",
"Ast.__proj__Mkatomic_field'__item__field_dependence",
"Ast.__proj__Mkatomic_field'__item__field_ident",
"Ast.__proj__Mkatomic_field'__item__field_constraint",
"InlineSingletonRecords.choose_one",
"Ast.__proj__Mkatomic_field'__item__field_action",
"Ast.expr'",
"FStar.Pervasives.Native.None",
"FStar.Pervasives.Native.Some",
"Ast.with_dummy_range",
"Ast.App",
"Ast.And",
"Prims.Cons",
"Prims.Nil",
"Prims.string",
"Ast.error",
"FStar.Printf.sprintf",
"Ast.subst_atomic_field",
"Ast.subst",
"Ast.mk_subst",
"Ast.Identifier",
"FStar.List.map2",
"FStar.Pervasives.Native.tuple3",
"Ast.qualifier",
"InlineSingletonRecords.singleton_record",
"Hashtable.try_find",
"Ast.ident'"
] | [] | (*
Copyright 2019 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 InlineSingletonRecords
open Ast
open FStar.All
module H = Hashtable
type singleton_record = list param & atomic_field
let env = H.t ident' singleton_record
(*
This module implements a pass over the source AST
1. Inlining records that contain only a single field
2. Inlining enumerated types that have dependences
Both of these are necessary to avoid double fetches
*)
let choose_one (a b:option 'a) : ML (option 'a) =
match a, b with
| Some fc, _
| _, Some fc -> Some fc
| _ -> None
let simplify_atomic_field (env:env) (f:atomic_field) | false | false | InlineSingletonRecords.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val simplify_atomic_field (env: env) (f: atomic_field) : ML atomic_field | [] | InlineSingletonRecords.simplify_atomic_field | {
"file_name": "src/3d/InlineSingletonRecords.fst",
"git_rev": "446a08ce38df905547cf20f28c43776b22b8087a",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | env: InlineSingletonRecords.env -> f: Ast.atomic_field -> FStar.All.ML Ast.atomic_field | {
"end_col": 24,
"end_line": 107,
"start_col": 3,
"start_line": 41
} |
Prims.Tot | val heap_ignore_ghost (vfh: vale_full_heap) : vale_full_heap | [
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapTypes_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let heap_ignore_ghost (vfh:vale_full_heap) : vale_full_heap =
{vfh with
vf_layout = {vfh.vf_layout with vl_inner = empty_vale_heap_layout_inner vfh.vf_heap};
vf_heaplets = empty_vale_heaplets vfh.vf_heap;
} | val heap_ignore_ghost (vfh: vale_full_heap) : vale_full_heap
let heap_ignore_ghost (vfh: vale_full_heap) : vale_full_heap = | false | null | false | {
vfh with
vf_layout = { vfh.vf_layout with vl_inner = empty_vale_heap_layout_inner vfh.vf_heap };
vf_heaplets = empty_vale_heaplets vfh.vf_heap
} | {
"checked_file": "Vale.Arch.HeapLemmas.fsti.checked",
"dependencies": [
"Vale.Arch.MachineHeap_s.fst.checked",
"Vale.Arch.HeapTypes_s.fst.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Vale.Arch.HeapLemmas.fsti"
} | [
"total"
] | [
"Vale.Arch.HeapImpl.vale_full_heap",
"Vale.Arch.HeapImpl.Mkvale_full_heap",
"Vale.Arch.HeapImpl.Mkvale_heap_layout",
"Vale.Arch.HeapLemmas.empty_vale_heap_layout_inner",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_heap",
"Vale.Arch.HeapImpl.__proj__Mkvale_heap_layout__item__vl_taint",
"Vale.Arch.HeapImpl.vale_heap_layout",
"Vale.Arch.HeapImpl.__proj__Mkvale_full_heap__item__vf_layout",
"Vale.Arch.HeapLemmas.empty_vale_heaplets"
] | [] | module Vale.Arch.HeapLemmas
open FStar.Mul
open Vale.Arch.HeapTypes_s
open Vale.Arch.MachineHeap_s
open Vale.Arch.Heap
open Vale.Arch.HeapImpl
val lemma_heap_impl : squash (heap_impl == vale_full_heap)
val empty_vale_heap_layout_inner (h:vale_heap) : vale_heap_layout_inner
val empty_vale_heaplets (h:vale_heap) : vale_heaplets | false | true | Vale.Arch.HeapLemmas.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val heap_ignore_ghost (vfh: vale_full_heap) : vale_full_heap | [] | Vale.Arch.HeapLemmas.heap_ignore_ghost | {
"file_name": "vale/code/arch/Vale.Arch.HeapLemmas.fsti",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | vfh: Vale.Arch.HeapImpl.vale_full_heap -> Vale.Arch.HeapImpl.vale_full_heap | {
"end_col": 50,
"end_line": 16,
"start_col": 3,
"start_line": 14
} |
Prims.Tot | val coerce (#b #a: Type) (x: a{a == b}) : b | [
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapTypes_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let coerce (#b #a:Type) (x:a{a == b}) : b = x | val coerce (#b #a: Type) (x: a{a == b}) : b
let coerce (#b #a: Type) (x: a{a == b}) : b = | false | null | false | x | {
"checked_file": "Vale.Arch.HeapLemmas.fsti.checked",
"dependencies": [
"Vale.Arch.MachineHeap_s.fst.checked",
"Vale.Arch.HeapTypes_s.fst.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Vale.Arch.HeapLemmas.fsti"
} | [
"total"
] | [
"Prims.eq2"
] | [] | module Vale.Arch.HeapLemmas
open FStar.Mul
open Vale.Arch.HeapTypes_s
open Vale.Arch.MachineHeap_s
open Vale.Arch.Heap
open Vale.Arch.HeapImpl
val lemma_heap_impl : squash (heap_impl == vale_full_heap)
val empty_vale_heap_layout_inner (h:vale_heap) : vale_heap_layout_inner
val empty_vale_heaplets (h:vale_heap) : vale_heaplets
let heap_ignore_ghost (vfh:vale_full_heap) : vale_full_heap =
{vfh with
vf_layout = {vfh.vf_layout with vl_inner = empty_vale_heap_layout_inner vfh.vf_heap};
vf_heaplets = empty_vale_heaplets vfh.vf_heap;
} | false | false | Vale.Arch.HeapLemmas.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val coerce (#b #a: Type) (x: a{a == b}) : b | [] | Vale.Arch.HeapLemmas.coerce | {
"file_name": "vale/code/arch/Vale.Arch.HeapLemmas.fsti",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | x: a{a == b} -> b | {
"end_col": 52,
"end_line": 19,
"start_col": 51,
"start_line": 19
} |
Prims.Tot | val heap_ignore_ghost_machine (h: heap_impl) : heap_impl | [
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Heap",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.MachineHeap_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapTypes_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let heap_ignore_ghost_machine (h:heap_impl) : heap_impl =
coerce (heap_ignore_ghost (coerce h)) | val heap_ignore_ghost_machine (h: heap_impl) : heap_impl
let heap_ignore_ghost_machine (h: heap_impl) : heap_impl = | false | null | false | coerce (heap_ignore_ghost (coerce h)) | {
"checked_file": "Vale.Arch.HeapLemmas.fsti.checked",
"dependencies": [
"Vale.Arch.MachineHeap_s.fst.checked",
"Vale.Arch.HeapTypes_s.fst.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.Arch.Heap.fsti.checked",
"prims.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Vale.Arch.HeapLemmas.fsti"
} | [
"total"
] | [
"Vale.Arch.Heap.heap_impl",
"Vale.Arch.HeapLemmas.coerce",
"Vale.Arch.HeapImpl.vale_full_heap",
"Vale.Arch.HeapLemmas.heap_ignore_ghost"
] | [] | module Vale.Arch.HeapLemmas
open FStar.Mul
open Vale.Arch.HeapTypes_s
open Vale.Arch.MachineHeap_s
open Vale.Arch.Heap
open Vale.Arch.HeapImpl
val lemma_heap_impl : squash (heap_impl == vale_full_heap)
val empty_vale_heap_layout_inner (h:vale_heap) : vale_heap_layout_inner
val empty_vale_heaplets (h:vale_heap) : vale_heaplets
let heap_ignore_ghost (vfh:vale_full_heap) : vale_full_heap =
{vfh with
vf_layout = {vfh.vf_layout with vl_inner = empty_vale_heap_layout_inner vfh.vf_heap};
vf_heaplets = empty_vale_heaplets vfh.vf_heap;
}
unfold let coerce (#b #a:Type) (x:a{a == b}) : b = x | false | true | Vale.Arch.HeapLemmas.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val heap_ignore_ghost_machine (h: heap_impl) : heap_impl | [] | Vale.Arch.HeapLemmas.heap_ignore_ghost_machine | {
"file_name": "vale/code/arch/Vale.Arch.HeapLemmas.fsti",
"git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e",
"git_url": "https://github.com/hacl-star/hacl-star.git",
"project_name": "hacl-star"
} | h: Vale.Arch.Heap.heap_impl -> Vale.Arch.Heap.heap_impl | {
"end_col": 39,
"end_line": 22,
"start_col": 2,
"start_line": 22
} |
Prims.Tot | [
{
"abbrev": true,
"full_module": "FStar.Sequence",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "FStar.Sequence.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let nat_at_most (n:nat) = m:nat { m < n } | let nat_at_most (n: nat) = | false | null | false | m: nat{m < n} | {
"checked_file": "FStar.Sequence.Permutation.fsti.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Sequence.Util.fst.checked",
"FStar.Sequence.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Algebra.CommMonoid.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Sequence.Permutation.fsti"
} | [
"total"
] | [
"Prims.nat",
"Prims.b2t",
"Prims.op_LessThan"
] | [] | (*
Copyright 2021 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.
Author: N. Swamy
*)
module FStar.Sequence.Permutation
open FStar.Sequence
open FStar.Sequence.Util
module S = FStar.Sequence
(* This module defines a permutation on sequences as a bijection among
the sequence indices relating equal elements.
It defines a few utilities to work with such permutations.
Notably:
1. Given two sequence with equal element counts, it constructs a
permutation.
2. Folding the multiplication of a commutative monoid over a
sequence and its permutation produces the same result
*) | false | true | FStar.Sequence.Permutation.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val nat_at_most : n: Prims.nat -> Type0 | [] | FStar.Sequence.Permutation.nat_at_most | {
"file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | n: Prims.nat -> Type0 | {
"end_col": 41,
"end_line": 37,
"start_col": 26,
"start_line": 37
} |
|
Prims.Tot | [
{
"abbrev": true,
"full_module": "FStar.Sequence",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "FStar.Sequence.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let index_fun #a (s:seq a) = nat_at_most (S.length s) -> nat_at_most (S.length s) | let index_fun #a (s: seq a) = | false | null | false | nat_at_most (S.length s) -> nat_at_most (S.length s) | {
"checked_file": "FStar.Sequence.Permutation.fsti.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Sequence.Util.fst.checked",
"FStar.Sequence.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Algebra.CommMonoid.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Sequence.Permutation.fsti"
} | [
"total"
] | [
"FStar.Sequence.Base.seq",
"FStar.Sequence.Permutation.nat_at_most",
"FStar.Sequence.Base.length"
] | [] | (*
Copyright 2021 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.
Author: N. Swamy
*)
module FStar.Sequence.Permutation
open FStar.Sequence
open FStar.Sequence.Util
module S = FStar.Sequence
(* This module defines a permutation on sequences as a bijection among
the sequence indices relating equal elements.
It defines a few utilities to work with such permutations.
Notably:
1. Given two sequence with equal element counts, it constructs a
permutation.
2. Folding the multiplication of a commutative monoid over a
sequence and its permutation produces the same result
*)
(* A bounded natural number *)
let nat_at_most (n:nat) = m:nat { m < n } | false | false | FStar.Sequence.Permutation.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val index_fun : s: FStar.Sequence.Base.seq a -> Type0 | [] | FStar.Sequence.Permutation.index_fun | {
"file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | s: FStar.Sequence.Base.seq a -> Type0 | {
"end_col": 81,
"end_line": 40,
"start_col": 29,
"start_line": 40
} |
|
Prims.Tot | [
{
"abbrev": true,
"full_module": "FStar.Algebra.CommMonoid",
"short_module": "CM"
},
{
"abbrev": true,
"full_module": "FStar.Sequence",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "FStar.Sequence.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Calc",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": true,
"full_module": "FStar.Sequence",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "FStar.Sequence.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let foldm_back (#a:Type) (m:CM.cm a) (s:seq a) = fold_back m.mult s m.unit | let foldm_back (#a: Type) (m: CM.cm a) (s: seq a) = | false | null | false | fold_back m.mult s m.unit | {
"checked_file": "FStar.Sequence.Permutation.fsti.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Sequence.Util.fst.checked",
"FStar.Sequence.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Algebra.CommMonoid.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Sequence.Permutation.fsti"
} | [
"total"
] | [
"FStar.Algebra.CommMonoid.cm",
"FStar.Sequence.Base.seq",
"FStar.Sequence.Util.fold_back",
"FStar.Algebra.CommMonoid.__proj__CM__item__mult",
"FStar.Algebra.CommMonoid.__proj__CM__item__unit"
] | [] | (*
Copyright 2021 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.
Author: N. Swamy
*)
module FStar.Sequence.Permutation
open FStar.Sequence
open FStar.Sequence.Util
module S = FStar.Sequence
(* This module defines a permutation on sequences as a bijection among
the sequence indices relating equal elements.
It defines a few utilities to work with such permutations.
Notably:
1. Given two sequence with equal element counts, it constructs a
permutation.
2. Folding the multiplication of a commutative monoid over a
sequence and its permutation produces the same result
*)
(* A bounded natural number *)
let nat_at_most (n:nat) = m:nat { m < n }
(* A function from the indices of `s` to itself *)
let index_fun #a (s:seq a) = nat_at_most (S.length s) -> nat_at_most (S.length s)
(* An abstract predicate defining when an index_fun is a permutation *)
val is_permutation (#a:Type) (s0:seq a) (s1:seq a) (f:index_fun s0) : prop
(* Revealing the interpretation of is_permutation *)
val reveal_is_permutation (#a:Type) (s0 s1:seq a) (f:index_fun s0)
: Lemma (is_permutation s0 s1 f <==>
(* lengths of the sequences are the same *)
S.length s0 == S.length s1 /\
(* f is injective *)
(forall x y. {:pattern f x; f y}
x <> y ==> f x <> f y) /\
(* and f relates equal items in s0 and s1 *)
(forall (i:nat{i < S.length s0}).{:pattern (S.index s1 (f i))}
S.index s0 i == S.index s1 (f i)))
(* A seqperm is an index_fun that is also a permutation *)
let seqperm (#a:Type) (s0:seq a) (s1:seq a) =
f:index_fun s0 { is_permutation s0 s1 f }
(* We can construct a permutation from
// sequences whose element counts are the same *)
val permutation_from_equal_counts
(#a:eqtype)
(s0:seq a) (s1:seq a{(forall x. count x s0 == count x s1)})
: Tot (seqperm s0 s1)
(** Now, some utilities related to commutative monoids and permutations *)
module CM = FStar.Algebra.CommMonoid | false | false | FStar.Sequence.Permutation.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val foldm_back : m: FStar.Algebra.CommMonoid.cm a -> s: FStar.Sequence.Base.seq a -> a | [] | FStar.Sequence.Permutation.foldm_back | {
"file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | m: FStar.Algebra.CommMonoid.cm a -> s: FStar.Sequence.Base.seq a -> a | {
"end_col": 74,
"end_line": 73,
"start_col": 49,
"start_line": 73
} |
|
Prims.Tot | [
{
"abbrev": true,
"full_module": "FStar.Sequence",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "FStar.Sequence.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Calc",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": true,
"full_module": "FStar.Sequence",
"short_module": "S"
},
{
"abbrev": false,
"full_module": "FStar.Sequence.Util",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Sequence",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let seqperm (#a:Type) (s0:seq a) (s1:seq a) =
f:index_fun s0 { is_permutation s0 s1 f } | let seqperm (#a: Type) (s0 s1: seq a) = | false | null | false | f: index_fun s0 {is_permutation s0 s1 f} | {
"checked_file": "FStar.Sequence.Permutation.fsti.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Sequence.Util.fst.checked",
"FStar.Sequence.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Algebra.CommMonoid.fst.checked"
],
"interface_file": false,
"source_file": "FStar.Sequence.Permutation.fsti"
} | [
"total"
] | [
"FStar.Sequence.Base.seq",
"FStar.Sequence.Permutation.index_fun",
"FStar.Sequence.Permutation.is_permutation"
] | [] | (*
Copyright 2021 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.
Author: N. Swamy
*)
module FStar.Sequence.Permutation
open FStar.Sequence
open FStar.Sequence.Util
module S = FStar.Sequence
(* This module defines a permutation on sequences as a bijection among
the sequence indices relating equal elements.
It defines a few utilities to work with such permutations.
Notably:
1. Given two sequence with equal element counts, it constructs a
permutation.
2. Folding the multiplication of a commutative monoid over a
sequence and its permutation produces the same result
*)
(* A bounded natural number *)
let nat_at_most (n:nat) = m:nat { m < n }
(* A function from the indices of `s` to itself *)
let index_fun #a (s:seq a) = nat_at_most (S.length s) -> nat_at_most (S.length s)
(* An abstract predicate defining when an index_fun is a permutation *)
val is_permutation (#a:Type) (s0:seq a) (s1:seq a) (f:index_fun s0) : prop
(* Revealing the interpretation of is_permutation *)
val reveal_is_permutation (#a:Type) (s0 s1:seq a) (f:index_fun s0)
: Lemma (is_permutation s0 s1 f <==>
(* lengths of the sequences are the same *)
S.length s0 == S.length s1 /\
(* f is injective *)
(forall x y. {:pattern f x; f y}
x <> y ==> f x <> f y) /\
(* and f relates equal items in s0 and s1 *)
(forall (i:nat{i < S.length s0}).{:pattern (S.index s1 (f i))}
S.index s0 i == S.index s1 (f i)))
(* A seqperm is an index_fun that is also a permutation *) | false | false | FStar.Sequence.Permutation.fsti | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val seqperm : s0: FStar.Sequence.Base.seq a -> s1: FStar.Sequence.Base.seq a -> Type0 | [] | FStar.Sequence.Permutation.seqperm | {
"file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | s0: FStar.Sequence.Base.seq a -> s1: FStar.Sequence.Base.seq a -> Type0 | {
"end_col": 43,
"end_line": 59,
"start_col": 2,
"start_line": 59
} |
|
Prims.Tot | val bvshl (#n: pos) (a: bv_t n) (s: nat) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvshl = B.shift_left_vec | val bvshl (#n: pos) (a: bv_t n) (s: nat) : Tot (bv_t n)
let bvshl = | false | null | false | B.shift_left_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.BitVector.shift_left_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvshl (#n: pos) (a: bv_t n) (s: nat) : Tot (bv_t n) | [] | FStar.BV.bvshl | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> s: Prims.nat -> FStar.BV.bv_t n | {
"end_col": 28,
"end_line": 57,
"start_col": 12,
"start_line": 57
} |
Prims.Tot | val bvxor (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvxor = B.logxor_vec | val bvxor (#n: pos) (a b: bv_t n) : Tot (bv_t n)
let bvxor = | false | null | false | B.logxor_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.BitVector.logxor_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvxor (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvxor | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 24,
"end_line": 44,
"start_col": 12,
"start_line": 44
} |
Prims.Tot | val int2bv (#n: pos) (num: uint_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv = U.to_vec | val int2bv (#n: pos) (num: uint_t n) : Tot (bv_t n)
let int2bv = | false | null | false | U.to_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.UInt.to_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv (#n: pos) (num: uint_t n) : Tot (bv_t n) | [] | FStar.BV.int2bv | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | num: FStar.UInt.uint_t n -> FStar.BV.bv_t n | {
"end_col": 21,
"end_line": 27,
"start_col": 13,
"start_line": 27
} |
Prims.Tot | val bvand (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvand = B.logand_vec | val bvand (#n: pos) (a b: bv_t n) : Tot (bv_t n)
let bvand = | false | null | false | B.logand_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.BitVector.logand_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvand (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvand | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 24,
"end_line": 40,
"start_col": 12,
"start_line": 40
} |
Prims.Tot | val bvult (#n: pos) (a b: bv_t n) : Tot (bool) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvult #n a b = (bv2int #n a) < (bv2int #n b) | val bvult (#n: pos) (a b: bv_t n) : Tot (bool)
let bvult #n a b = | false | null | false | (bv2int #n a) < (bv2int #n b) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"Prims.op_LessThan",
"FStar.BV.bv2int",
"Prims.bool"
] | [] | (*
Copyright 2008-2018 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module FStar.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvult (#n: pos) (a b: bv_t n) : Tot (bool) | [] | FStar.BV.bvult | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> Prims.bool | {
"end_col": 48,
"end_line": 67,
"start_col": 19,
"start_line": 67
} |
FStar.Pervasives.Lemma | val bv2list_bij (#n: pos) (a: bv_t n)
: Lemma (requires (True)) (ensures (list2bv (bv2list #n a) = a)) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bv2list_bij #n a = S.lemma_seq_list_bij a | val bv2list_bij (#n: pos) (a: bv_t n)
: Lemma (requires (True)) (ensures (list2bv (bv2list #n a) = a))
let bv2list_bij #n a = | false | null | true | S.lemma_seq_list_bij a | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.Seq.Properties.lemma_seq_list_bij",
"Prims.bool",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bv2list_bij (#n: pos) (a: bv_t n)
: Lemma (requires (True)) (ensures (list2bv (bv2list #n a) = a)) | [] | FStar.BV.bv2list_bij | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> FStar.Pervasives.Lemma (ensures FStar.BV.list2bv (FStar.BV.bv2list a) = a) | {
"end_col": 45,
"end_line": 38,
"start_col": 23,
"start_line": 38
} |
FStar.Pervasives.Lemma | val int2bv_lemma_1 (#n: pos) (a b: uint_t n)
: Lemma (requires a = b) (ensures (int2bv #n a = int2bv #n b)) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_lemma_1 = U.to_vec_lemma_1 | val int2bv_lemma_1 (#n: pos) (a b: uint_t n)
: Lemma (requires a = b) (ensures (int2bv #n a = int2bv #n b))
let int2bv_lemma_1 = | false | null | true | U.to_vec_lemma_1 | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"FStar.UInt.to_vec_lemma_1"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_lemma_1 (#n: pos) (a b: uint_t n)
: Lemma (requires a = b) (ensures (int2bv #n a = int2bv #n b)) | [] | FStar.BV.int2bv_lemma_1 | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.UInt.uint_t n -> b: FStar.UInt.uint_t n
-> FStar.Pervasives.Lemma (requires a = b) (ensures FStar.BV.int2bv a = FStar.BV.int2bv b) | {
"end_col": 37,
"end_line": 30,
"start_col": 21,
"start_line": 30
} |
Prims.Tot | val bv2int (#n: pos) (vec: bv_t n) : Tot (uint_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bv2int = U.from_vec | val bv2int (#n: pos) (vec: bv_t n) : Tot (uint_t n)
let bv2int = | false | null | false | U.from_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.UInt.from_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bv2int (#n: pos) (vec: bv_t n) : Tot (uint_t n) | [] | FStar.BV.bv2int | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | vec: FStar.BV.bv_t n -> FStar.UInt.uint_t n | {
"end_col": 23,
"end_line": 28,
"start_col": 13,
"start_line": 28
} |
Prims.Tot | val bv_t (n: nat) : eqtype | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bv_t (n : nat) = B.bv_t n | val bv_t (n: nat) : eqtype
let bv_t (n: nat) = | false | null | false | B.bv_t n | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.nat",
"FStar.BitVector.bv_t",
"Prims.eqtype"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq | false | true | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bv_t (n: nat) : eqtype | [] | FStar.BV.bv_t | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | n: Prims.nat -> Prims.eqtype | {
"end_col": 29,
"end_line": 22,
"start_col": 21,
"start_line": 22
} |
Prims.Tot | val list2bv (#n: pos) (l: list bool {List.length l = n}) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let list2bv #n l = S.seq_of_list l | val list2bv (#n: pos) (l: list bool {List.length l = n}) : Tot (bv_t n)
let list2bv #n l = | false | null | false | S.seq_of_list l | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"Prims.list",
"Prims.bool",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"Prims.l_or",
"Prims.op_GreaterThanOrEqual",
"Prims.op_GreaterThan",
"FStar.List.Tot.Base.length",
"FStar.Seq.Properties.seq_of_list",
"FStar.BV.bv_t"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val list2bv (#n: pos) (l: list bool {List.length l = n}) : Tot (bv_t n) | [] | FStar.BV.list2bv | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | l: Prims.list Prims.bool {FStar.List.Tot.Base.length l = n} -> FStar.BV.bv_t n | {
"end_col": 34,
"end_line": 35,
"start_col": 19,
"start_line": 35
} |
Prims.Tot | val bvor (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvor = B.logor_vec | val bvor (#n: pos) (a b: bv_t n) : Tot (bv_t n)
let bvor = | false | null | false | B.logor_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.BitVector.logor_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvor (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvor | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 22,
"end_line": 48,
"start_col": 11,
"start_line": 48
} |
FStar.Pervasives.Lemma | val int2bv_lemma_ult_2 (#n: pos) (a b: uint_t n)
: Lemma (requires (bvult #n (int2bv #n a) (int2bv #n b))) (ensures a < b) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b | val int2bv_lemma_ult_2 (#n: pos) (a b: uint_t n)
: Lemma (requires (bvult #n (int2bv #n a) (int2bv #n b))) (ensures a < b)
let int2bv_lemma_ult_2 #n a b = | false | null | true | inverse_num_lemma #n a;
inverse_num_lemma #n b | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.inverse_num_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_lemma_ult_2 (#n: pos) (a b: uint_t n)
: Lemma (requires (bvult #n (int2bv #n a) (int2bv #n b))) (ensures a < b) | [] | FStar.BV.int2bv_lemma_ult_2 | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.UInt.uint_t n -> b: FStar.UInt.uint_t n
-> FStar.Pervasives.Lemma (requires FStar.BV.bvult (FStar.BV.int2bv a) (FStar.BV.int2bv b))
(ensures a < b) | {
"end_col": 24,
"end_line": 75,
"start_col": 2,
"start_line": 74
} |
FStar.Pervasives.Lemma | val inverse_num_lemma (#n: pos) (num: uint_t n)
: Lemma (requires True)
(ensures num = bv2int #n (int2bv #n num))
[SMTPat (bv2int #n (int2bv #n num))] | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let inverse_num_lemma = U.inverse_num_lemma | val inverse_num_lemma (#n: pos) (num: uint_t n)
: Lemma (requires True)
(ensures num = bv2int #n (int2bv #n num))
[SMTPat (bv2int #n (int2bv #n num))]
let inverse_num_lemma = | false | null | true | U.inverse_num_lemma | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"FStar.UInt.inverse_num_lemma"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2 | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val inverse_num_lemma (#n: pos) (num: uint_t n)
: Lemma (requires True)
(ensures num = bv2int #n (int2bv #n num))
[SMTPat (bv2int #n (int2bv #n num))] | [] | FStar.BV.inverse_num_lemma | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | num: FStar.UInt.uint_t n
-> FStar.Pervasives.Lemma (ensures num = FStar.BV.bv2int (FStar.BV.int2bv num))
[SMTPat (FStar.BV.bv2int (FStar.BV.int2bv num))] | {
"end_col": 43,
"end_line": 33,
"start_col": 24,
"start_line": 33
} |
FStar.Pervasives.Lemma | val inverse_vec_lemma (#n: pos) (vec: bv_t n)
: Lemma (requires True) (ensures vec = (int2bv (bv2int vec))) [SMTPat (int2bv (bv2int vec))] | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let inverse_vec_lemma = U.inverse_vec_lemma | val inverse_vec_lemma (#n: pos) (vec: bv_t n)
: Lemma (requires True) (ensures vec = (int2bv (bv2int vec))) [SMTPat (int2bv (bv2int vec))]
let inverse_vec_lemma = | false | null | true | U.inverse_vec_lemma | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"FStar.UInt.inverse_vec_lemma"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1 | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val inverse_vec_lemma (#n: pos) (vec: bv_t n)
: Lemma (requires True) (ensures vec = (int2bv (bv2int vec))) [SMTPat (int2bv (bv2int vec))] | [] | FStar.BV.inverse_vec_lemma | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | vec: FStar.BV.bv_t n
-> FStar.Pervasives.Lemma (ensures vec = FStar.BV.int2bv (FStar.BV.bv2int vec))
[SMTPat (FStar.BV.int2bv (FStar.BV.bv2int vec))] | {
"end_col": 43,
"end_line": 32,
"start_col": 24,
"start_line": 32
} |
Prims.Tot | val bvmul (#n: pos) (a: bv_t n) (b: uint_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvmul #n a b =
int2bv #n (U.mul_mod #n (bv2int #n a) b) | val bvmul (#n: pos) (a: bv_t n) (b: uint_t n) : Tot (bv_t n)
let bvmul #n a b = | false | null | false | int2bv #n (U.mul_mod #n (bv2int #n a) b) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.UInt.uint_t",
"FStar.BV.int2bv",
"FStar.UInt.mul_mod",
"FStar.BV.bv2int"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y))
let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b)
let int2bv_div #n #x #y #z pf =
inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y)
let bvdiv_unsafe #n a b = if (bv2int b <> 0) then bvdiv a (bv2int b) else int2bv 0
let bvdiv_unsafe_sound #n #a #b b_nonzero_pf = ()
let bvmod #n a b =
int2bv #n (U.mod #n (bv2int #n a) b)
let int2bv_mod #n #x #y #z pf =
inverse_vec_lemma #n (bvmod #n (int2bv #n x) y)
// Z3's bvmul is also modulo | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvmul (#n: pos) (a: bv_t n) (b: uint_t n) : Tot (bv_t n) | [] | FStar.BV.bvmul | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.UInt.uint_t n -> FStar.BV.bv_t n | {
"end_col": 42,
"end_line": 104,
"start_col": 2,
"start_line": 104
} |
FStar.Pervasives.Lemma | val int2bv_logxor:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvxor #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logxor #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y)) | val int2bv_logxor:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvxor #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logxor #n x y) == z)
let int2bv_logxor #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvxor",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_logxor:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvxor #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logxor #n x y) == z) | [] | FStar.BV.int2bv_logxor | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvxor (FStar.BV.int2bv x) (FStar.BV.int2bv y) == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.logxor x y) == z) | {
"end_col": 55,
"end_line": 46,
"start_col": 2,
"start_line": 46
} |
Prims.Tot | val bv2list: #n: pos -> bv_t n -> Tot (l: list bool {List.length l = n}) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bv2list #n s = S.seq_to_list s | val bv2list: #n: pos -> bv_t n -> Tot (l: list bool {List.length l = n})
let bv2list #n s = | false | null | false | S.seq_to_list s | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.Seq.Properties.seq_to_list",
"Prims.bool",
"Prims.list",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"Prims.l_or",
"Prims.op_GreaterThanOrEqual",
"Prims.op_GreaterThan",
"FStar.List.Tot.Base.length"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bv2list: #n: pos -> bv_t n -> Tot (l: list bool {List.length l = n}) | [] | FStar.BV.bv2list | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | s: FStar.BV.bv_t n -> l: Prims.list Prims.bool {FStar.List.Tot.Base.length l = n} | {
"end_col": 34,
"end_line": 36,
"start_col": 19,
"start_line": 36
} |
Prims.Tot | val bvshr (#n: pos) (a: bv_t n) (s: nat) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvshr = B.shift_right_vec | val bvshr (#n: pos) (a: bv_t n) (s: nat) : Tot (bv_t n)
let bvshr = | false | null | false | B.shift_right_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.BitVector.shift_right_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvshr (#n: pos) (a: bv_t n) (s: nat) : Tot (bv_t n) | [] | FStar.BV.bvshr | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> s: Prims.nat -> FStar.BV.bv_t n | {
"end_col": 29,
"end_line": 61,
"start_col": 12,
"start_line": 61
} |
Prims.Tot | val bvnot (#n: pos) (a: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvnot = B.lognot_vec | val bvnot (#n: pos) (a: bv_t n) : Tot (bv_t n)
let bvnot = | false | null | false | B.lognot_vec | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"FStar.BitVector.lognot_vec"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvnot (#n: pos) (a: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvnot | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 24,
"end_line": 52,
"start_col": 12,
"start_line": 52
} |
Prims.Tot | val bv_uext (#n #m: pos) (a: bv_t n) : Tot (normalize (bv_t (m + n))) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bv_uext #n #i a =
Seq.append (Seq.create i false) a | val bv_uext (#n #m: pos) (a: bv_t n) : Tot (normalize (bv_t (m + n)))
let bv_uext #n #i a = | false | null | false | Seq.append (Seq.create i false) a | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.Seq.Base.append",
"Prims.bool",
"FStar.Seq.Base.create",
"FStar.Pervasives.normalize",
"Prims.op_Addition"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bv_uext (#n #m: pos) (a: bv_t n) : Tot (normalize (bv_t (m + n))) | [] | FStar.BV.bv_uext | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> FStar.Pervasives.normalize (FStar.BV.bv_t (m + n)) | {
"end_col": 35,
"end_line": 25,
"start_col": 2,
"start_line": 25
} |
FStar.Pervasives.Lemma | val int2bv_div:
#n: pos ->
#x: uint_t n ->
#y: uint_t n {y <> 0} ->
#z: bv_t n ->
squash (bvdiv #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (udiv #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_div #n #x #y #z pf =
inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y) | val int2bv_div:
#n: pos ->
#x: uint_t n ->
#y: uint_t n {y <> 0} ->
#z: bv_t n ->
squash (bvdiv #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (udiv #n x y) == z)
let int2bv_div #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"Prims.b2t",
"Prims.op_disEquality",
"Prims.int",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvdiv",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y))
let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_div:
#n: pos ->
#x: uint_t n ->
#y: uint_t n {y <> 0} ->
#z: bv_t n ->
squash (bvdiv #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (udiv #n x y) == z) | [] | FStar.BV.int2bv_div | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvdiv (FStar.BV.int2bv x) y == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.udiv x y) == z) | {
"end_col": 49,
"end_line": 91,
"start_col": 2,
"start_line": 91
} |
FStar.Pervasives.Lemma | val int2bv_lemma_2 (#n: pos) (a b: uint_t n)
: Lemma (requires (int2bv a = int2bv b)) (ensures a = b) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_lemma_2 = U.to_vec_lemma_2 | val int2bv_lemma_2 (#n: pos) (a b: uint_t n)
: Lemma (requires (int2bv a = int2bv b)) (ensures a = b)
let int2bv_lemma_2 = | false | null | true | U.to_vec_lemma_2 | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"FStar.UInt.to_vec_lemma_2"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_lemma_2 (#n: pos) (a b: uint_t n)
: Lemma (requires (int2bv a = int2bv b)) (ensures a = b) | [] | FStar.BV.int2bv_lemma_2 | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.UInt.uint_t n -> b: FStar.UInt.uint_t n
-> FStar.Pervasives.Lemma (requires FStar.BV.int2bv a = FStar.BV.int2bv b) (ensures a = b) | {
"end_col": 37,
"end_line": 31,
"start_col": 21,
"start_line": 31
} |
Prims.Tot | val bvmod (#n: pos) (a: bv_t n) (b: uint_t n {b <> 0}) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvmod #n a b =
int2bv #n (U.mod #n (bv2int #n a) b) | val bvmod (#n: pos) (a: bv_t n) (b: uint_t n {b <> 0}) : Tot (bv_t n)
let bvmod #n a b = | false | null | false | int2bv #n (U.mod #n (bv2int #n a) b) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.UInt.uint_t",
"Prims.b2t",
"Prims.op_disEquality",
"Prims.int",
"FStar.BV.int2bv",
"FStar.UInt.mod",
"FStar.BV.bv2int"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y))
let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b)
let int2bv_div #n #x #y #z pf =
inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y)
let bvdiv_unsafe #n a b = if (bv2int b <> 0) then bvdiv a (bv2int b) else int2bv 0
let bvdiv_unsafe_sound #n #a #b b_nonzero_pf = () | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvmod (#n: pos) (a: bv_t n) (b: uint_t n {b <> 0}) : Tot (bv_t n) | [] | FStar.BV.bvmod | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.UInt.uint_t n {b <> 0} -> FStar.BV.bv_t n | {
"end_col": 40,
"end_line": 98,
"start_col": 4,
"start_line": 98
} |
Prims.Tot | val bvsub (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b)) | val bvsub (#n: pos) (a b: bv_t n) : Tot (bv_t n)
let bvsub #n a b = | false | null | false | int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.BV.int2bv",
"FStar.UInt.sub_mod",
"FStar.BV.bv2int"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvsub (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvsub | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 53,
"end_line": 84,
"start_col": 4,
"start_line": 84
} |
Prims.Tot | val bvadd (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b)) | val bvadd (#n: pos) (a b: bv_t n) : Tot (bv_t n)
let bvadd #n a b = | false | null | false | int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.BV.int2bv",
"FStar.UInt.add_mod",
"FStar.BV.bv2int"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvadd (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvadd | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 53,
"end_line": 79,
"start_col": 4,
"start_line": 79
} |
Prims.Tot | val bvdiv (#n: pos) (a: bv_t n) (b: uint_t n {b <> 0}) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b) | val bvdiv (#n: pos) (a: bv_t n) (b: uint_t n {b <> 0}) : Tot (bv_t n)
let bvdiv #n a b = | false | null | false | int2bv #n (U.udiv #n (bv2int #n a) b) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"FStar.UInt.uint_t",
"Prims.b2t",
"Prims.op_disEquality",
"Prims.int",
"FStar.BV.int2bv",
"FStar.UInt.udiv",
"FStar.BV.bv2int"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvdiv (#n: pos) (a: bv_t n) (b: uint_t n {b <> 0}) : Tot (bv_t n) | [] | FStar.BV.bvdiv | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.UInt.uint_t n {b <> 0} -> FStar.BV.bv_t n | {
"end_col": 41,
"end_line": 89,
"start_col": 4,
"start_line": 89
} |
FStar.Pervasives.Lemma | val int2bv_logor:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvor #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logor #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y)) | val int2bv_logor:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvor #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logor #n x y) == z)
let int2bv_logor #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvor",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_logor:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvor #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logor #n x y) == z) | [] | FStar.BV.int2bv_logor | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvor (FStar.BV.int2bv x) (FStar.BV.int2bv y) == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.logor x y) == z) | {
"end_col": 54,
"end_line": 50,
"start_col": 2,
"start_line": 50
} |
Prims.Tot | val bvdiv_unsafe (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let bvdiv_unsafe #n a b = if (bv2int b <> 0) then bvdiv a (bv2int b) else int2bv 0 | val bvdiv_unsafe (#n: pos) (a b: bv_t n) : Tot (bv_t n)
let bvdiv_unsafe #n a b = | false | null | false | if (bv2int b <> 0) then bvdiv a (bv2int b) else int2bv 0 | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"total"
] | [
"Prims.pos",
"FStar.BV.bv_t",
"Prims.op_disEquality",
"Prims.int",
"FStar.BV.bv2int",
"FStar.BV.bvdiv",
"Prims.bool",
"FStar.BV.int2bv"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y))
let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b)
let int2bv_div #n #x #y #z pf =
inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val bvdiv_unsafe (#n: pos) (a b: bv_t n) : Tot (bv_t n) | [] | FStar.BV.bvdiv_unsafe | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.BV.bv_t n -> b: FStar.BV.bv_t n -> FStar.BV.bv_t n | {
"end_col": 82,
"end_line": 93,
"start_col": 26,
"start_line": 93
} |
FStar.Pervasives.Lemma | val int2bv_lognot: #n: pos -> #x: uint_t n -> #z: bv_t n -> squash (bvnot #n (int2bv #n x) == z)
-> Lemma (int2bv #n (lognot #n x) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x)) | val int2bv_lognot: #n: pos -> #x: uint_t n -> #z: bv_t n -> squash (bvnot #n (int2bv #n x) == z)
-> Lemma (int2bv #n (lognot #n x) == z)
let int2bv_lognot #n #x #y pf = | false | null | true | inverse_vec_lemma #n (bvnot #n (int2bv x)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvnot",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_lognot: #n: pos -> #x: uint_t n -> #z: bv_t n -> squash (bvnot #n (int2bv #n x) == z)
-> Lemma (int2bv #n (lognot #n x) == z) | [] | FStar.BV.int2bv_lognot | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvnot (FStar.BV.int2bv x) == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.lognot x) == z) | {
"end_col": 44,
"end_line": 54,
"start_col": 2,
"start_line": 54
} |
FStar.Pervasives.Lemma | val int2bv_mod:
#n: pos ->
#x: uint_t n ->
#y: uint_t n {y <> 0} ->
#z: bv_t n ->
squash (bvmod #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (mod #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_mod #n #x #y #z pf =
inverse_vec_lemma #n (bvmod #n (int2bv #n x) y) | val int2bv_mod:
#n: pos ->
#x: uint_t n ->
#y: uint_t n {y <> 0} ->
#z: bv_t n ->
squash (bvmod #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (mod #n x y) == z)
let int2bv_mod #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvmod #n (int2bv #n x) y) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"Prims.b2t",
"Prims.op_disEquality",
"Prims.int",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvmod",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y))
let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b)
let int2bv_div #n #x #y #z pf =
inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y)
let bvdiv_unsafe #n a b = if (bv2int b <> 0) then bvdiv a (bv2int b) else int2bv 0
let bvdiv_unsafe_sound #n #a #b b_nonzero_pf = ()
let bvmod #n a b =
int2bv #n (U.mod #n (bv2int #n a) b) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_mod:
#n: pos ->
#x: uint_t n ->
#y: uint_t n {y <> 0} ->
#z: bv_t n ->
squash (bvmod #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (mod #n x y) == z) | [] | FStar.BV.int2bv_mod | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvmod (FStar.BV.int2bv x) y == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.mod x y) == z) | {
"end_col": 49,
"end_line": 100,
"start_col": 2,
"start_line": 100
} |
FStar.Pervasives.Lemma | val list2bv_bij (#n: pos) (a: list bool {List.length a = n})
: Lemma (requires (True)) (ensures (bv2list (list2bv #n a) = a)) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let list2bv_bij #n a = S.lemma_list_seq_bij a | val list2bv_bij (#n: pos) (a: list bool {List.length a = n})
: Lemma (requires (True)) (ensures (bv2list (list2bv #n a) = a))
let list2bv_bij #n a = | false | null | true | S.lemma_list_seq_bij a | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"Prims.list",
"Prims.bool",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"Prims.l_or",
"Prims.op_GreaterThanOrEqual",
"Prims.op_GreaterThan",
"FStar.List.Tot.Base.length",
"FStar.Seq.Properties.lemma_list_seq_bij",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val list2bv_bij (#n: pos) (a: list bool {List.length a = n})
: Lemma (requires (True)) (ensures (bv2list (list2bv #n a) = a)) | [] | FStar.BV.list2bv_bij | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: Prims.list Prims.bool {FStar.List.Tot.Base.length a = n}
-> FStar.Pervasives.Lemma (ensures FStar.BV.bv2list (FStar.BV.list2bv a) = a) | {
"end_col": 45,
"end_line": 37,
"start_col": 23,
"start_line": 37
} |
FStar.Pervasives.Lemma | val int2bv_mul:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvmul #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (mul_mod #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_mul #n #x #y #z pf =
inverse_vec_lemma #n (bvmul #n (int2bv #n x) y) | val int2bv_mul:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvmul #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (mul_mod #n x y) == z)
let int2bv_mul #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvmul #n (int2bv #n x) y) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvmul",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b))
let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y))
let bvdiv #n a b =
int2bv #n (U.udiv #n (bv2int #n a) b)
let int2bv_div #n #x #y #z pf =
inverse_vec_lemma #n (bvdiv #n (int2bv #n x) y)
let bvdiv_unsafe #n a b = if (bv2int b <> 0) then bvdiv a (bv2int b) else int2bv 0
let bvdiv_unsafe_sound #n #a #b b_nonzero_pf = ()
let bvmod #n a b =
int2bv #n (U.mod #n (bv2int #n a) b)
let int2bv_mod #n #x #y #z pf =
inverse_vec_lemma #n (bvmod #n (int2bv #n x) y)
// Z3's bvmul is also modulo
let bvmul #n a b =
int2bv #n (U.mul_mod #n (bv2int #n a) b) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_mul:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvmul #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (mul_mod #n x y) == z) | [] | FStar.BV.int2bv_mul | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvmul (FStar.BV.int2bv x) y == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.mul_mod x y) == z) | {
"end_col": 49,
"end_line": 106,
"start_col": 2,
"start_line": 106
} |
FStar.Pervasives.Lemma | val int2bv_lemma_ult_1 (#n: pos) (a b: uint_t n)
: Lemma (requires a < b) (ensures (bvult #n (int2bv #n a) (int2bv #n b))) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b | val int2bv_lemma_ult_1 (#n: pos) (a b: uint_t n)
: Lemma (requires a < b) (ensures (bvult #n (int2bv #n a) (int2bv #n b)))
let int2bv_lemma_ult_1 #n a b = | false | null | true | inverse_num_lemma #n a;
inverse_num_lemma #n b | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.inverse_num_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_lemma_ult_1 (#n: pos) (a b: uint_t n)
: Lemma (requires a < b) (ensures (bvult #n (int2bv #n a) (int2bv #n b))) | [] | FStar.BV.int2bv_lemma_ult_1 | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: FStar.UInt.uint_t n -> b: FStar.UInt.uint_t n
-> FStar.Pervasives.Lemma (requires a < b)
(ensures FStar.BV.bvult (FStar.BV.int2bv a) (FStar.BV.int2bv b)) | {
"end_col": 24,
"end_line": 71,
"start_col": 2,
"start_line": 70
} |
FStar.Pervasives.Lemma | val int2bv_sub:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvsub #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (sub_mod #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_sub #n #x #y #z pf =
inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y)) | val int2bv_sub:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvsub #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (sub_mod #n x y) == z)
let int2bv_sub #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvsub #n (int2bv #n x) (int2bv #n y)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvsub",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b))
let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y))
let bvsub #n a b =
int2bv #n (U.sub_mod (bv2int #n a) (bv2int #n b)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_sub:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvsub #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (sub_mod #n x y) == z) | [] | FStar.BV.int2bv_sub | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvsub (FStar.BV.int2bv x) (FStar.BV.int2bv y) == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.sub_mod x y) == z) | {
"end_col": 61,
"end_line": 86,
"start_col": 2,
"start_line": 86
} |
FStar.Pervasives.Lemma | val int2bv_shl:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvshl #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (shift_left #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y) | val int2bv_shl:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvshl #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (shift_left #n x y) == z)
let int2bv_shl #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvshl #n (int2bv #n x) y) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvshl",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_shl:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvshl #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (shift_left #n x y) == z) | [] | FStar.BV.int2bv_shl | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvshl (FStar.BV.int2bv x) y == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.shift_left x y) == z) | {
"end_col": 49,
"end_line": 59,
"start_col": 2,
"start_line": 59
} |
FStar.Pervasives.Lemma | val int2bv_logand:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvand #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logand #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y)) | val int2bv_logand:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvand #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logand #n x y) == z)
let int2bv_logand #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvand",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_logand:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvand #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (logand #n x y) == z) | [] | FStar.BV.int2bv_logand | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvand (FStar.BV.int2bv x) (FStar.BV.int2bv y) == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.logand x y) == z) | {
"end_col": 61,
"end_line": 42,
"start_col": 2,
"start_line": 42
} |
FStar.Pervasives.Lemma | val int2bv_add:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvadd #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (add_mod #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_add #n #x #y #z pf =
inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y)) | val int2bv_add:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvadd #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (add_mod #n x y) == z)
let int2bv_add #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvadd #n (int2bv #n x) (int2bv #n y)) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvadd",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec
let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y)
let bvult #n a b = (bv2int #n a) < (bv2int #n b)
let int2bv_lemma_ult_1 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let int2bv_lemma_ult_2 #n a b =
inverse_num_lemma #n a;
inverse_num_lemma #n b
let bvadd #n a b =
int2bv #n (U.add_mod (bv2int #n a) (bv2int #n b)) | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_add:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvadd #n (int2bv #n x) (int2bv #n y) == z)
-> Lemma (int2bv #n (add_mod #n x y) == z) | [] | FStar.BV.int2bv_add | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvadd (FStar.BV.int2bv x) (FStar.BV.int2bv y) == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.add_mod x y) == z) | {
"end_col": 61,
"end_line": 81,
"start_col": 2,
"start_line": 81
} |
FStar.Pervasives.Lemma | val int2bv_shr:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvshr #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (shift_right #n x y) == z) | [
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "FStar.BitVector",
"short_module": "B"
},
{
"abbrev": true,
"full_module": "FStar.UInt",
"short_module": "U"
},
{
"abbrev": false,
"full_module": "FStar.UInt",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let int2bv_shr #n #x #y #z pf =
inverse_vec_lemma #n (bvshr #n (int2bv #n x) y) | val int2bv_shr:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvshr #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (shift_right #n x y) == z)
let int2bv_shr #n #x #y #z pf = | false | null | true | inverse_vec_lemma #n (bvshr #n (int2bv #n x) y) | {
"checked_file": "FStar.BV.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.UInt.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.BitVector.fst.checked"
],
"interface_file": true,
"source_file": "FStar.BV.fst"
} | [
"lemma"
] | [
"Prims.pos",
"FStar.UInt.uint_t",
"FStar.BV.bv_t",
"Prims.squash",
"Prims.eq2",
"FStar.BV.bvshr",
"FStar.BV.int2bv",
"FStar.BV.inverse_vec_lemma",
"Prims.unit"
] | [] | (*
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.BV
module U = FStar.UInt
module B = FStar.BitVector
module S = FStar.Seq
let bv_t (n : nat) = B.bv_t n
let bv_uext #n #i a =
Seq.append (Seq.create i false) a
let int2bv = U.to_vec
let bv2int = U.from_vec
let int2bv_lemma_1 = U.to_vec_lemma_1
let int2bv_lemma_2 = U.to_vec_lemma_2
let inverse_vec_lemma = U.inverse_vec_lemma
let inverse_num_lemma = U.inverse_num_lemma
let list2bv #n l = S.seq_of_list l
let bv2list #n s = S.seq_to_list s
let list2bv_bij #n a = S.lemma_list_seq_bij a
let bv2list_bij #n a = S.lemma_seq_list_bij a
let bvand = B.logand_vec
let int2bv_logand #n #x #y #z pf =
inverse_vec_lemma #n (bvand #n (int2bv #n x) (int2bv #n y))
let bvxor = B.logxor_vec
let int2bv_logxor #n #x #y #z pf =
inverse_vec_lemma #n (bvxor #n (int2bv x) (int2bv y))
let bvor = B.logor_vec
let int2bv_logor #n #x #y #z pf =
inverse_vec_lemma #n (bvor #n (int2bv x) (int2bv y))
let bvnot = B.lognot_vec
let int2bv_lognot #n #x #y pf =
inverse_vec_lemma #n (bvnot #n (int2bv x))
(*TODO: specify index functions? *)
let bvshl = B.shift_left_vec
let int2bv_shl #n #x #y #z pf =
inverse_vec_lemma #n (bvshl #n (int2bv #n x) y)
let bvshr = B.shift_right_vec | false | false | FStar.BV.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val int2bv_shr:
#n: pos ->
#x: uint_t n ->
#y: uint_t n ->
#z: bv_t n ->
squash (bvshr #n (int2bv #n x) y == z)
-> Lemma (int2bv #n (shift_right #n x y) == z) | [] | FStar.BV.int2bv_shr | {
"file_name": "ulib/FStar.BV.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | pf: Prims.squash (FStar.BV.bvshr (FStar.BV.int2bv x) y == z)
-> FStar.Pervasives.Lemma (ensures FStar.BV.int2bv (FStar.UInt.shift_right x y) == z) | {
"end_col": 49,
"end_line": 63,
"start_col": 2,
"start_line": 63
} |
Prims.Tot | [
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let binrel (a:Type) = a -> a -> Type | let binrel (a: Type) = | false | null | false | a -> a -> Type | {
"checked_file": "FStar.WellFounded.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Squash.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.IndefiniteDescription.fsti.checked",
"FStar.Classical.Sugar.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.WellFounded.fst"
} | [
"total"
] | [] | [] | (*
Copyright 2015 Chantal Keller and Catalin Hritcu, Microsoft Research and Inria
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.
Authors: Chantal Keller, Catalin Hritcu, Aseem Rastogi, Nikhil Swamy
*)
(* Defining accessibility predicates and well-founded recursion like in Coq
https://coq.inria.fr/library/Coq.Init.Wf.html
*)
module FStar.WellFounded
#push-options "--warn_error -242" //inner let recs not encoded to SMT; ok | false | true | FStar.WellFounded.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val binrel : a: Type -> Type | [] | FStar.WellFounded.binrel | {
"file_name": "ulib/FStar.WellFounded.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | a: Type -> Type | {
"end_col": 36,
"end_line": 27,
"start_col": 22,
"start_line": 27
} |
|
Prims.Tot | [
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let well_founded (#a:Type u#a) (r:binrel u#a u#r a) = x:a -> acc r x | let well_founded (#a: Type u#a) (r: binrel u#a u#r a) = | false | null | false | x: a -> acc r x | {
"checked_file": "FStar.WellFounded.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Squash.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.IndefiniteDescription.fsti.checked",
"FStar.Classical.Sugar.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.WellFounded.fst"
} | [
"total"
] | [
"FStar.WellFounded.binrel",
"FStar.WellFounded.acc"
] | [] | (*
Copyright 2015 Chantal Keller and Catalin Hritcu, Microsoft Research and Inria
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.
Authors: Chantal Keller, Catalin Hritcu, Aseem Rastogi, Nikhil Swamy
*)
(* Defining accessibility predicates and well-founded recursion like in Coq
https://coq.inria.fr/library/Coq.Init.Wf.html
*)
module FStar.WellFounded
#push-options "--warn_error -242" //inner let recs not encoded to SMT; ok
let binrel (a:Type) = a -> a -> Type
(*
* The accessibility relation
* -- Marked erasable, since this is a singleton type anyway
* -- Erasability also simplifies proofs that use accessibility in
* with axioms like indefinitedescription
*)
[@@ erasable]
noeq
type acc (#a:Type u#a) (r:binrel u#a u#r a) (x:a) : Type u#(max a r) =
| AccIntro : access_smaller:(y:a -> r y x -> acc r y) -> acc r x
(*
* A binrel r is well-founded if every element is accessible | false | false | FStar.WellFounded.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val well_founded : r: FStar.WellFounded.binrel a -> Type | [] | FStar.WellFounded.well_founded | {
"file_name": "ulib/FStar.WellFounded.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | r: FStar.WellFounded.binrel a -> Type | {
"end_col": 68,
"end_line": 43,
"start_col": 54,
"start_line": 43
} |
|
Prims.Tot | [
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | false | let is_well_founded (#a:Type) (rel:binrel a) =
forall (x:a). squash (acc rel x) | let is_well_founded (#a: Type) (rel: binrel a) = | false | null | false | forall (x: a). squash (acc rel x) | {
"checked_file": "FStar.WellFounded.fst.checked",
"dependencies": [
"prims.fst.checked",
"FStar.Squash.fsti.checked",
"FStar.Pervasives.fsti.checked",
"FStar.IndefiniteDescription.fsti.checked",
"FStar.Classical.Sugar.fsti.checked"
],
"interface_file": false,
"source_file": "FStar.WellFounded.fst"
} | [
"total"
] | [
"FStar.WellFounded.binrel",
"Prims.l_Forall",
"Prims.squash",
"FStar.WellFounded.acc",
"Prims.logical"
] | [] | (*
Copyright 2015 Chantal Keller and Catalin Hritcu, Microsoft Research and Inria
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.
Authors: Chantal Keller, Catalin Hritcu, Aseem Rastogi, Nikhil Swamy
*)
(* Defining accessibility predicates and well-founded recursion like in Coq
https://coq.inria.fr/library/Coq.Init.Wf.html
*)
module FStar.WellFounded
#push-options "--warn_error -242" //inner let recs not encoded to SMT; ok
let binrel (a:Type) = a -> a -> Type
(*
* The accessibility relation
* -- Marked erasable, since this is a singleton type anyway
* -- Erasability also simplifies proofs that use accessibility in
* with axioms like indefinitedescription
*)
[@@ erasable]
noeq
type acc (#a:Type u#a) (r:binrel u#a u#r a) (x:a) : Type u#(max a r) =
| AccIntro : access_smaller:(y:a -> r y x -> acc r y) -> acc r x
(*
* A binrel r is well-founded if every element is accessible
*)
let well_founded (#a:Type u#a) (r:binrel u#a u#r a) = x:a -> acc r x
(*
* Accessibility predicates can be used for implementing
* total fix points
*)
let rec fix_F (#aa:Type) (#r:binrel aa) (#p:(aa -> Type))
(f: (x:aa -> (y:aa -> r y x -> p y) -> p x))
(x:aa) (a:acc r x)
: Tot (p x) (decreases a)
= f x (fun y h -> fix_F f y (a.access_smaller y h))
let fix (#aa:Type) (#r:binrel aa) (rwf:well_founded r)
(p:aa -> Type) (f:(x:aa -> (y:aa -> r y x -> p y) -> p x))
(x:aa)
: p x
= fix_F f x (rwf x) | false | false | FStar.WellFounded.fst | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | null | val is_well_founded : rel: FStar.WellFounded.binrel a -> Prims.logical | [] | FStar.WellFounded.is_well_founded | {
"file_name": "ulib/FStar.WellFounded.fst",
"git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f",
"git_url": "https://github.com/FStarLang/FStar.git",
"project_name": "FStar"
} | rel: FStar.WellFounded.binrel a -> Prims.logical | {
"end_col": 34,
"end_line": 62,
"start_col": 2,
"start_line": 62
} |
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