microsoft/FStarDataSet-V2 · Datasets at Hugging Face

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wp_ShiftLeft2_128_1

val va_wp_ShiftLeft2_128_1 (lo hi: poly) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0

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 (())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 203, "start_col": 0, "start_line": 192 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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) -> Type0

Prims.Tot

[ "total" ]

[]

[ "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "Prims.op_LessThanOrEqual", "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.nat64", "Vale.PPC64LE.Machine_s.quad32", "Prims.l_imp", "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.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg" ]

[]

false

true

let va_wp_ShiftLeft2_128_1 (lo 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 (())))

false

Hacl.Spec.Poly1305.Equiv.fst

Hacl.Spec.Poly1305.Equiv.load_acc_lemma4

val load_acc_lemma4: b:block_v 4 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0)

let load_acc_lemma4 b acc0 r = let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let b2 = Seq.slice b (2 * size_block) (3 * size_block) in let b3 = Seq.slice b (3 * size_block) (4 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in let c2 = pfadd (pow2 128) (nat_from_bytes_le b2) in let c3 = pfadd (pow2 128) (nat_from_bytes_le b3) in FStar.Math.Lemmas.modulo_lemma c1 prime; FStar.Math.Lemmas.modulo_lemma c2 prime; FStar.Math.Lemmas.modulo_lemma c3 prime; let f = S.poly1305_update1 r size_block in let nb = (4 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 3; Loops.unfold_repeati nb repeat_f acc0 2; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_multi_lemma_load4_simplify acc0 r c0 c1 c2 c3

{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Equiv.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 66, "end_line": 92, "start_col": 0, "start_line": 67 }

module Hacl.Spec.Poly1305.Equiv open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Lib.IntVector module Loops = Lib.LoopCombinators module VecLemmas = Lib.Vec.Lemmas module SeqLemmas = Lib.Sequence.Lemmas module Lemmas = Hacl.Spec.Poly1305.Lemmas module S = Spec.Poly1305 include Hacl.Spec.Poly1305.Vec #set-options "--z3rlimit 50 --max_fuel 0 --max_ifuel 0" let block_v (w:lanes{w * size_block <= max_size_t}) = lbytes (w * size_block) /// /// val load_acc_lemma: #w:lanes -> b:block_v w -> acc0:pfelem -> r:pfelem -> Lemma /// (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) /// val load_acc_lemma1: b:block_v 1 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc #1 b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) let load_acc_lemma1 b acc0 r = let f = S.poly1305_update1 r size_block in let nb = size_block / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0 val load_acc_lemma2: b:block_v 2 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) let load_acc_lemma2 b acc0 r = let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in FStar.Math.Lemmas.modulo_lemma c1 prime; let f = S.poly1305_update1 r size_block in let nb = (2 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_multi_lemma_load2_simplify acc0 r c0 c1 val load_acc_lemma4: b:block_v 4 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0)

{ "checked_file": "/", "dependencies": [ "Spec.Poly1305.fst.checked", "prims.fst.checked", "Lib.Vec.Lemmas.fsti.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Lemmas.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Equiv.fst" }

[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": true, "full_module": "Spec.Poly1305", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Lemmas", "short_module": "Lemmas" }, { "abbrev": true, "full_module": "Lib.Sequence.Lemmas", "short_module": "SeqLemmas" }, { "abbrev": true, "full_module": "Lib.Vec.Lemmas", "short_module": "VecLemmas" }, { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

b: Hacl.Spec.Poly1305.Equiv.block_v 4 -> acc0: Hacl.Spec.Poly1305.Vec.pfelem -> r: Hacl.Spec.Poly1305.Vec.pfelem -> FStar.Pervasives.Lemma (ensures Hacl.Spec.Poly1305.Vec.normalize_n r (Hacl.Spec.Poly1305.Vec.load_acc b acc0) == Lib.Sequence.repeat_blocks_multi Hacl.Spec.Poly1305.Vec.size_block b (Spec.Poly1305.poly1305_update1 r Hacl.Spec.Poly1305.Vec.size_block) acc0)

FStar.Pervasives.Lemma

[ "lemma" ]

[]

[ "Hacl.Spec.Poly1305.Equiv.block_v", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Spec.Poly1305.Lemmas.poly_update_multi_lemma_load4_simplify", "Prims.unit", "Lib.LoopCombinators.eq_repeati0", "Spec.Poly1305.felem", "Lib.LoopCombinators.unfold_repeati", "Lib.Sequence.lemma_repeat_blocks_multi", "Lib.IntTypes.uint_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Hacl.Spec.Poly1305.Vec.size_block", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Lib.Sequence.repeat_blocks_f", "Prims.int", "Prims.op_Division", "FStar.Mul.op_Star", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Spec.Poly1305.poly1305_update1", "FStar.Math.Lemmas.modulo_lemma", "Hacl.Spec.Poly1305.Vec.prime", "Hacl.Spec.Poly1305.Vec.pfadd", "Prims.pow2", "Lib.ByteSequence.nat_from_bytes_le", "FStar.Seq.Base.seq", "FStar.Seq.Base.slice" ]

[]

true

false

true

false

let load_acc_lemma4 b acc0 r =

let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let b2 = Seq.slice b (2 * size_block) (3 * size_block) in let b3 = Seq.slice b (3 * size_block) (4 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in let c2 = pfadd (pow2 128) (nat_from_bytes_le b2) in let c3 = pfadd (pow2 128) (nat_from_bytes_le b3) in FStar.Math.Lemmas.modulo_lemma c1 prime; FStar.Math.Lemmas.modulo_lemma c2 prime; FStar.Math.Lemmas.modulo_lemma c3 prime; let f = S.poly1305_update1 r size_block in let nb = (4 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 3; Loops.unfold_repeati nb repeat_f acc0 2; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_multi_lemma_load4_simplify acc0 r c0 c1 c2 c3

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wp_ClmulRev64High

val va_wp_ClmulRev64High (a b: poly) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0

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 (())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 25, "end_line": 325, "start_col": 0, "start_line": 314 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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) -> Type0

Prims.Tot

[ "total" ]

[]

[ "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.op_LessThanOrEqual", "Vale.Math.Poly2_s.degree", "Prims.eq2", "Vale.Math.Poly2_s.reverse", "Vale.Math.Poly2.Bits_s.of_double32", "Vale.Arch.Types.quad32_double_hi", "Vale.PPC64LE.Decls.va_get_vec", "Prims.l_or", "Vale.Arch.Types.quad32_double_lo", "Vale.Math.Poly2_s.zero", "Prims.l_Forall", "Vale.PPC64LE.Machine_s.quad32", "Prims.l_imp", "Vale.Def.Types_s.quad32", "Vale.Math.Poly2.Bits_s.to_quad32", "Vale.Math.Poly2_s.mul", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec" ]

[]

false

true

let va_wp_ClmulRev64High (a 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 (())))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow

val va_code_High64ToLow : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code

let va_code_High64ToLow dst src = (va_Block (va_CCons (va_code_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_CNil ())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 85, "end_line": 353, "start_col": 0, "start_line": 352 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "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" ]

[]

false

true

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 ())))

false

Hacl.Spec.Poly1305.Equiv.fst

Hacl.Spec.Poly1305.Equiv.poly_update_nblocks_lemma4

val poly_update_nblocks_lemma4: r:pfelem -> b:block_v 4 -> acc_v0:elem 4 -> Lemma (let rw = compute_rw #4 r in normalize_n r (poly1305_update_nblocks rw b acc_v0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) (normalize_n r acc_v0))

let poly_update_nblocks_lemma4 r b acc_v0 = let acc0 = normalize_n r acc_v0 in let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let b2 = Seq.slice b (2 * size_block) (3 * size_block) in let b3 = Seq.slice b (3 * size_block) (4 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in let c2 = pfadd (pow2 128) (nat_from_bytes_le b2) in let c3 = pfadd (pow2 128) (nat_from_bytes_le b3) in let r2 = pfmul r r in let r4 = pfmul r2 r2 in let f = S.poly1305_update1 r size_block in let nb = (4 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 3; Loops.unfold_repeati nb repeat_f acc0 2; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_repeat_blocks_multi_lemma4_simplify acc_v0.[0] acc_v0.[1] acc_v0.[2] acc_v0.[3] c0 c1 c2 c3 r r2 r4

{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Equiv.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 67, "end_line": 184, "start_col": 0, "start_line": 157 }

module Hacl.Spec.Poly1305.Equiv open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Lib.IntVector module Loops = Lib.LoopCombinators module VecLemmas = Lib.Vec.Lemmas module SeqLemmas = Lib.Sequence.Lemmas module Lemmas = Hacl.Spec.Poly1305.Lemmas module S = Spec.Poly1305 include Hacl.Spec.Poly1305.Vec #set-options "--z3rlimit 50 --max_fuel 0 --max_ifuel 0" let block_v (w:lanes{w * size_block <= max_size_t}) = lbytes (w * size_block) /// /// val load_acc_lemma: #w:lanes -> b:block_v w -> acc0:pfelem -> r:pfelem -> Lemma /// (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) /// val load_acc_lemma1: b:block_v 1 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc #1 b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) let load_acc_lemma1 b acc0 r = let f = S.poly1305_update1 r size_block in let nb = size_block / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0 val load_acc_lemma2: b:block_v 2 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) let load_acc_lemma2 b acc0 r = let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in FStar.Math.Lemmas.modulo_lemma c1 prime; let f = S.poly1305_update1 r size_block in let nb = (2 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_multi_lemma_load2_simplify acc0 r c0 c1 val load_acc_lemma4: b:block_v 4 -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) let load_acc_lemma4 b acc0 r = let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let b2 = Seq.slice b (2 * size_block) (3 * size_block) in let b3 = Seq.slice b (3 * size_block) (4 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in let c2 = pfadd (pow2 128) (nat_from_bytes_le b2) in let c3 = pfadd (pow2 128) (nat_from_bytes_le b3) in FStar.Math.Lemmas.modulo_lemma c1 prime; FStar.Math.Lemmas.modulo_lemma c2 prime; FStar.Math.Lemmas.modulo_lemma c3 prime; let f = S.poly1305_update1 r size_block in let nb = (4 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 3; Loops.unfold_repeati nb repeat_f acc0 2; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_multi_lemma_load4_simplify acc0 r c0 c1 c2 c3 val load_acc_lemma: #w:lanes -> b:block_v w -> acc0:pfelem -> r:pfelem -> Lemma (normalize_n r (load_acc b acc0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) acc0) let load_acc_lemma #w b acc0 r = match w with | 1 -> load_acc_lemma1 b acc0 r | 2 -> load_acc_lemma2 b acc0 r | 4 -> load_acc_lemma4 b acc0 r /// /// val poly_update_nblocks_lemma: #w:lanes -> r:pfelem -> b:block_v w -> acc_v0:elem w -> Lemma /// (let rw = compute_rw r in /// normalize_n r (poly_update_nblocks #w rw b acc_v0) == /// repeat_blocks_multi size_block b (poly_update1 r) (normalize_n r acc_v0)) /// val poly_update_nblocks_lemma1: r:pfelem -> b:block_v 1 -> acc_v0:elem 1 -> Lemma (let rw = compute_rw #1 r in normalize_n r (poly1305_update_nblocks rw b acc_v0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) (normalize_n r acc_v0)) let poly_update_nblocks_lemma1 r b acc_v0 = let acc0 = normalize_n r acc_v0 in let f = S.poly1305_update1 r size_block in let nb = size_block / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0 val poly_update_nblocks_lemma2: r:pfelem -> b:block_v 2 -> acc_v0:elem 2 -> Lemma (let rw = compute_rw #2 r in normalize_n r (poly1305_update_nblocks rw b acc_v0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) (normalize_n r acc_v0)) let poly_update_nblocks_lemma2 r b acc_v0 = let acc0 = normalize_n r acc_v0 in let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in let f = S.poly1305_update1 r size_block in let nb = (2 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_multi_lemma_load2_simplify acc0 r c0 c1; Lemmas.poly_update_repeat_blocks_multi_lemma2_simplify acc_v0.[0] acc_v0.[1] c0 c1 r val poly_update_nblocks_lemma4: r:pfelem -> b:block_v 4 -> acc_v0:elem 4 -> Lemma (let rw = compute_rw #4 r in normalize_n r (poly1305_update_nblocks rw b acc_v0) == repeat_blocks_multi size_block b (S.poly1305_update1 r size_block) (normalize_n r acc_v0))

{ "checked_file": "/", "dependencies": [ "Spec.Poly1305.fst.checked", "prims.fst.checked", "Lib.Vec.Lemmas.fsti.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "Hacl.Spec.Poly1305.Lemmas.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Equiv.fst" }

[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": true, "full_module": "Spec.Poly1305", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Spec.Poly1305.Lemmas", "short_module": "Lemmas" }, { "abbrev": true, "full_module": "Lib.Sequence.Lemmas", "short_module": "SeqLemmas" }, { "abbrev": true, "full_module": "Lib.Vec.Lemmas", "short_module": "VecLemmas" }, { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

r: Hacl.Spec.Poly1305.Vec.pfelem -> b: Hacl.Spec.Poly1305.Equiv.block_v 4 -> acc_v0: Hacl.Spec.Poly1305.Vec.elem 4 -> FStar.Pervasives.Lemma (ensures (let rw = Hacl.Spec.Poly1305.Vec.compute_rw r in Hacl.Spec.Poly1305.Vec.normalize_n r (Hacl.Spec.Poly1305.Vec.poly1305_update_nblocks rw b acc_v0) == Lib.Sequence.repeat_blocks_multi Hacl.Spec.Poly1305.Vec.size_block b (Spec.Poly1305.poly1305_update1 r Hacl.Spec.Poly1305.Vec.size_block) (Hacl.Spec.Poly1305.Vec.normalize_n r acc_v0)))

FStar.Pervasives.Lemma

[ "lemma" ]

[]

[ "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Spec.Poly1305.Equiv.block_v", "Hacl.Spec.Poly1305.Vec.elem", "Hacl.Spec.Poly1305.Lemmas.poly_update_repeat_blocks_multi_lemma4_simplify", "Lib.Sequence.op_String_Access", "Prims.unit", "Lib.LoopCombinators.eq_repeati0", "Spec.Poly1305.felem", "Lib.LoopCombinators.unfold_repeati", "Lib.Sequence.lemma_repeat_blocks_multi", "Lib.IntTypes.uint_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Hacl.Spec.Poly1305.Vec.size_block", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Lib.Sequence.repeat_blocks_f", "Prims.int", "Prims.op_Division", "FStar.Mul.op_Star", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Spec.Poly1305.poly1305_update1", "Hacl.Spec.Poly1305.Vec.pfmul", "Hacl.Spec.Poly1305.Vec.pfadd", "Prims.pow2", "Lib.ByteSequence.nat_from_bytes_le", "FStar.Seq.Base.seq", "FStar.Seq.Base.slice", "Hacl.Spec.Poly1305.Vec.normalize_n" ]

[]

true

false

true

false

let poly_update_nblocks_lemma4 r b acc_v0 =

let acc0 = normalize_n r acc_v0 in let b0 = Seq.slice b 0 size_block in let b1 = Seq.slice b size_block (2 * size_block) in let b2 = Seq.slice b (2 * size_block) (3 * size_block) in let b3 = Seq.slice b (3 * size_block) (4 * size_block) in let c0 = pfadd (pow2 128) (nat_from_bytes_le b0) in let c1 = pfadd (pow2 128) (nat_from_bytes_le b1) in let c2 = pfadd (pow2 128) (nat_from_bytes_le b2) in let c3 = pfadd (pow2 128) (nat_from_bytes_le b3) in let r2 = pfmul r r in let r4 = pfmul r2 r2 in let f = S.poly1305_update1 r size_block in let nb = (4 * size_block) / size_block in let repeat_f = repeat_blocks_f size_block b f nb in lemma_repeat_blocks_multi size_block b f acc0; Loops.unfold_repeati nb repeat_f acc0 3; Loops.unfold_repeati nb repeat_f acc0 2; Loops.unfold_repeati nb repeat_f acc0 1; Loops.unfold_repeati nb repeat_f acc0 0; Loops.eq_repeati0 nb repeat_f acc0; Lemmas.poly_update_repeat_blocks_multi_lemma4_simplify acc_v0.[ 0 ] acc_v0.[ 1 ] acc_v0.[ 2 ] acc_v0.[ 3 ] c0 c1 c2 c3 r r2 r4

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh

val va_code_Low64ToHigh : dst:va_operand_vec_opr -> src:va_operand_vec_opr -> Tot va_code

let va_code_Low64ToHigh dst src = (va_Block (va_CCons (va_code_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_CNil ())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 85, "end_line": 386, "start_col": 0, "start_line": 385 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "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" ]

[]

false

true

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 ())))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_High64ToLow

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 = (va_pbool_and (va_codegen_success_Vsldoi dst (va_op_vec_opr_vec 0) src 8) (va_ttrue ()))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 90, "end_line": 357, "start_col": 0, "start_line": 356 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ())))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "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" ]

[]

false

true

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 ()))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_qcode_ShiftLeft128_1

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 ())) = (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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 (()))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 84, "end_line": 46, "start_col": 0, "start_line": 37 }

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 ())))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_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 ())

Prims.Tot

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Low64ToHigh

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 = (va_pbool_and (va_codegen_success_Vsldoi dst src (va_op_vec_opr_vec 0) 8) (va_ttrue ()))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 90, "end_line": 390, "start_col": 0, "start_line": 389 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ())))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> src: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "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" ]

[]

false

true

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 ()))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_AddPoly

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 = (va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 65, "end_line": 434, "start_col": 0, "start_line": 433 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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

Prims.Tot

[ "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" ]

[]

false

true

false

let va_code_AddPoly dst src1 src2 =

(va_Block (va_CCons (va_code_Vxor dst src1 src2) (va_CNil ())))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_AddPoly

val va_codegen_success_AddPoly : dst:va_operand_vec_opr -> src1:va_operand_vec_opr -> src2:va_operand_vec_opr -> Tot va_pbool

let va_codegen_success_AddPoly dst src1 src2 = (va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 70, "end_line": 440, "start_col": 0, "start_line": 439 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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_pbool

Prims.Tot

[ "total" ]

[]

[ "Vale.PPC64LE.Decls.va_operand_vec_opr", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.PPC64LE.InsVector.va_codegen_success_Vxor", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]

[]

false

true

false

let va_codegen_success_AddPoly dst src1 src2 =

(va_pbool_and (va_codegen_success_Vxor dst src1 src2) (va_ttrue ()))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wp_AddPoly

val va_wp_AddPoly (dst src1 src2: va_operand_vec_opr) (a b: poly) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0

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 (())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 86, "end_line": 474, "start_col": 0, "start_line": 467 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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) -> Type0

Prims.Tot

[ "total" ]

[]

[ "Vale.PPC64LE.Decls.va_operand_vec_opr", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Vale.PPC64LE.Decls.va_is_dst_vec_opr", "Vale.PPC64LE.Decls.va_is_src_vec_opr", "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_eval_vec_opr", "Vale.Math.Poly2.Bits_s.to_quad32", "Prims.l_Forall", "Vale.PPC64LE.Decls.va_value_vec_opr", "Prims.l_imp", "Vale.Math.Poly2_s.add", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_operand_vec_opr" ]

[]

false

true

let va_wp_AddPoly (dst src1 src2: va_operand_vec_opr) (a 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 (())))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ShiftLeft128_1

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 71, "start_col": 0, "start_line": 64 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128

val va_code_Clmul128 : va_dummy:unit -> Tot va_code

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 ())))))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 51, "end_line": 513, "start_col": 0, "start_line": 502 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "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" ]

[]

false

true

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 ())))))))))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_quick_ShiftLeft2_128_1

val va_quick_ShiftLeft2_128_1 (lo hi: poly) : (va_quickCode unit (va_code_ShiftLeft2_128_1 ()))

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))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 87, "end_line": 227, "start_col": 0, "start_line": 224 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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 ())

Prims.Tot

[ "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" ]

[]

false

let va_quick_ShiftLeft2_128_1 (lo 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))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Clmul128

val va_codegen_success_Clmul128 : va_dummy:unit -> Tot va_pbool

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 ()))))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 28, "end_line": 530, "start_col": 0, "start_line": 517 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "total" ]

[]

[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.PPC64LE.InsVector.va_codegen_success_Vspltisw", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VSwap", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_High64ToLow", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Low64ToHigh", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMul", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulHigh", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_AddPoly", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]

[]

false

true

false

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 ()))))))))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_ShiftLeft128_1

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 = 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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 60, "start_col": 0, "start_line": 49 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_qcode_ShiftLeft2_128_1

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: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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 (())))))))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 150, "start_col": 0, "start_line": 103 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ()))))))))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_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 ())

Prims.Tot

[ "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" ]

[]

false

let va_qcode_ShiftLeft2_128_1 (va_mods: va_mods_t) (lo 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 (())))))))))))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wp_Clmul128

val va_wp_Clmul128 (ab cd: poly) (va_s0: va_state) (va_k: (va_state -> (poly & poly) -> Type0)) : Type0

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))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 67, "end_line": 722, "start_col": 0, "start_line": 711 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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

Prims.Tot

[ "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" ]

[]

false

true

let va_wp_Clmul128 (ab 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))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ShiftLeft2_128_1

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 221, "start_col": 0, "start_line": 213 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_qcode_ClmulRev64High

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: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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 (()))))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 30, "end_line": 281, "start_col": 0, "start_line": 244 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ())))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_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 ())

Prims.Tot

[ "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" ]

[]

false

let va_qcode_ClmulRev64High (va_mods: va_mods_t) (a 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 (()))))))))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ClmulRev128

val va_codegen_success_ClmulRev128 : va_dummy:unit -> Tot va_pbool

let va_codegen_success_ClmulRev128 () = (va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1 ()) (va_ttrue ())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 23, "end_line": 760, "start_col": 0, "start_line": 758 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "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" ]

[]

false

true

false

let va_codegen_success_ClmulRev128 () =

(va_pbool_and (va_codegen_success_Clmul128 ()) (va_pbool_and (va_codegen_success_ShiftLeft2_128_1 ()) (va_ttrue ())))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_ClmulRev128

val va_code_ClmulRev128 : va_dummy:unit -> Tot va_code

let va_code_ClmulRev128 () = (va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 99, "end_line": 754, "start_col": 0, "start_line": 753 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "total" ]

[]

[ "Prims.unit", "Vale.PPC64LE.Decls.va_Block", "Vale.PPC64LE.Decls.va_CCons", "Vale.AES.PPC64LE.GF128_Mul.va_code_Clmul128", "Vale.AES.PPC64LE.GF128_Mul.va_code_ShiftLeft2_128_1", "Vale.PPC64LE.Decls.va_CNil", "Vale.PPC64LE.Decls.va_code" ]

[]

false

true

false

let va_code_ClmulRev128 () =

(va_Block (va_CCons (va_code_Clmul128 ()) (va_CCons (va_code_ShiftLeft2_128_1 ()) (va_CNil ()))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wp_ClmulRev128

val va_wp_ClmulRev128 (ab cd: poly) (va_s0: va_state) (va_k: (va_state -> (poly & poly) -> Type0)) : Type0

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))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 95, "end_line": 841, "start_col": 0, "start_line": 829 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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

Prims.Tot

[ "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", "Vale.Math.Poly2_s.reverse", "Prims.l_Forall", "Vale.PPC64LE.Machine_s.nat64", "Vale.PPC64LE.Machine_s.quad32", "Prims.l_imp", "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", "Vale.PPC64LE.Decls.va_upd_reg" ]

[]

false

true

let va_wp_ClmulRev128 (ab 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))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Gf128ModulusRev

val va_codegen_success_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_pbool

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 ())))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 82, "end_line": 885, "start_col": 0, "start_line": 881 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "total" ]

[]

[ "Vale.PPC64LE.Decls.va_operand_vec_opr", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.PPC64LE.InsVector.va_codegen_success_Vxor", "Vale.PPC64LE.InsBasic.va_codegen_success_LoadImmShl64", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Prims.op_Minus", "Vale.PPC64LE.InsVector.va_codegen_success_Mtvsrws", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.PPC64LE.InsVector.va_codegen_success_Vsldoi", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]

[]

false

true

false

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 ()) ))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_quick_ClmulRev64High

val va_quick_ClmulRev64High (a b: poly) : (va_quickCode unit (va_code_ClmulRev64High ()))

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))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 36, "end_line": 347, "start_col": 0, "start_line": 345 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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 ())

Prims.Tot

[ "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" ]

[]

false

let va_quick_ClmulRev64High (a 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))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_ShiftLeft2_128_1

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 = 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 189, "start_col": 0, "start_line": 167 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.add_lo

val add_lo (#n:nat) (a b:natN n) (c:nat1) : natN n

let add_lo #n a b c = add_lo_def a b c

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 38, "end_line": 36, "start_col": 0, "start_line": 36 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' () let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1) #restart-solver let lemma_mul_div_n_lt #n a b = let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc (==) { (n - 1) * (n - 1); == {distributivity_sub_right (n - 1) n 1} (n - 1) * n - (n - 1) * 1; == {} (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; // 1 / n == 0 lemma_div_plus 1 (n - 2) n; // (1 + (n - 2) * n) / n == 1 / n + (n - 2) () let lemma_mul_div_n #n a b = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; nat_over_pos_is_nat (a * b) n; lemma_mul_div_n_lt a b

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> c: Vale.Def.Words_s.nat1 -> Vale.Def.Words_s.natN n

Prims.Tot

[ "total" ]

[]

[ "Prims.nat", "Vale.Def.Words_s.natN", "Vale.Def.Words_s.nat1", "Vale.Bignum.Defs.add_lo_def" ]

[]

false

let add_lo #n a b c =

add_lo_def a b c

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.add_hi

val add_hi (#n:nat) (a b:natN n) (c:nat1) : nat1

let add_hi #n a b c = add_hi_def a b c

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 38, "end_line": 40, "start_col": 0, "start_line": 40 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' () let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1) #restart-solver let lemma_mul_div_n_lt #n a b = let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc (==) { (n - 1) * (n - 1); == {distributivity_sub_right (n - 1) n 1} (n - 1) * n - (n - 1) * 1; == {} (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; // 1 / n == 0 lemma_div_plus 1 (n - 2) n; // (1 + (n - 2) * n) / n == 1 / n + (n - 2) () let lemma_mul_div_n #n a b = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; nat_over_pos_is_nat (a * b) n; lemma_mul_div_n_lt a b let add_lo #n a b c = add_lo_def a b c let reveal_add_lo #n a b c = () let reveal_add_lo_all () = ()

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> c: Vale.Def.Words_s.nat1 -> Vale.Def.Words_s.nat1

Prims.Tot

[ "total" ]

[]

[ "Prims.nat", "Vale.Def.Words_s.natN", "Vale.Def.Words_s.nat1", "Vale.Bignum.Defs.add_hi_def" ]

[]

false

let add_hi #n a b c =

add_hi_def a b c

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_qcode_Low64ToHigh

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: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/fstar_dataset/projects/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/fstar_dataset/projects/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 (())))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 97, "end_line": 400, "start_col": 0, "start_line": 393 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ()))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_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)

Prims.Tot

[ "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" ]

[]

false

let va_qcode_Low64ToHigh (va_mods: va_mods_t) (dst 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/fstar_dataset/projects/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/fstar_dataset/projects/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

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ClmulRev64High

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 342, "start_col": 0, "start_line": 335 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev

val va_code_Gf128ModulusRev : dst:va_operand_vec_opr -> Tot va_code

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 ()))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 71, "end_line": 877, "start_col": 0, "start_line": 874 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "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" ]

[]

false

true

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 ()))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_High64ToLow

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 379, "start_col": 0, "start_line": 373 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_ClmulRev64High

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 = 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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 311, "start_col": 0, "start_line": 299 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_High64ToLow

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 369, "start_col": 0, "start_line": 360 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ()))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wp_Gf128ModulusRev

val va_wp_Gf128ModulusRev (dst: va_operand_vec_opr) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0

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 (())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 96, "end_line": 936, "start_col": 0, "start_line": 929 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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) -> Type0

Prims.Tot

[ "total" ]

[]

[ "Vale.PPC64LE.Decls.va_operand_vec_opr", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Vale.PPC64LE.Decls.va_is_dst_vec_opr", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.l_not", "Prims.eq2", "Prims.int", "Prims.l_Forall", "Vale.PPC64LE.Decls.va_value_vec_opr", "Vale.PPC64LE.Machine_s.nat64", "Vale.PPC64LE.Machine_s.quad32", "Prims.l_imp", "Vale.Def.Types_s.quad32", "Vale.PPC64LE.Decls.va_eval_vec_opr", "Vale.Math.Poly2.Bits_s.to_quad32", "Vale.Math.Poly2_s.reverse", "Vale.AES.GF128_s.gf128_modulus_low_terms", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_double32", "Vale.Arch.Types.quad32_double_lo", "Vale.Math.Poly2_s.zero", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg", "Vale.PPC64LE.Decls.va_upd_operand_vec_opr" ]

[]

false

true

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 (())))

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.lemma_mul_div_n_lt

val lemma_mul_div_n_lt (#n:nat) (a b:natN n) : Lemma ((a * b) / n < (if n <= 1 then n else n - 1))

let lemma_mul_div_n_lt #n a b = let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc (==) { (n - 1) * (n - 1); == {distributivity_sub_right (n - 1) n 1} (n - 1) * n - (n - 1) * 1; == {} (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; // 1 / n == 0 lemma_div_plus 1 (n - 2) n; // (1 + (n - 2) * n) / n == 1 / n + (n - 2) ()

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 4, "end_line": 28, "start_col": 0, "start_line": 15 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' () let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> FStar.Pervasives.Lemma (ensures a * b / n < (match n <= 1 with | true -> n | _ -> n - 1))

FStar.Pervasives.Lemma

[ "lemma" ]

[]

[ "Prims.nat", "Vale.Def.Words_s.natN", "Prims.unit", "FStar.Math.Lemmas.lemma_div_plus", "Prims.op_Subtraction", "Prims.op_GreaterThan", "FStar.Math.Lemmas.small_division_lemma_1", "Prims.bool", "FStar.Calc.calc_finish", "Prims.int", "Prims.eq2", "FStar.Mul.op_Star", "Prims.op_Addition", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "FStar.Calc.calc_step", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "FStar.Math.Lemmas.distributivity_sub_right", "Prims.squash", "FStar.Math.Lemmas.lemma_div_le", "Vale.Bignum.Defs.lemma_mul_n_bound" ]

[]

false

true

false

let lemma_mul_div_n_lt #n a b =

let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc ( == ) { (n - 1) * (n - 1); ( == ) { distributivity_sub_right (n - 1) n 1 } (n - 1) * n - (n - 1) * 1; ( == ) { () } (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; lemma_div_plus 1 (n - 2) n; ()

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_Low64ToHigh

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 = 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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 415, "start_col": 0, "start_line": 403 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.lemma_mul_nat_bound

val lemma_mul_nat_bound (a a' b b':nat) : Lemma (requires a <= a' /\ b <= b') (ensures 0 <= a * b /\ a * b <= a' * b')

let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' ()

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 4, "end_line": 9, "start_col": 0, "start_line": 4 }

module Vale.Bignum.Defs open FStar.Mul

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Prims.nat -> a': Prims.nat -> b: Prims.nat -> b': Prims.nat -> FStar.Pervasives.Lemma (requires a <= a' /\ b <= b') (ensures 0 <= a * b /\ a * b <= a' * b')

FStar.Pervasives.Lemma

[ "lemma" ]

[]

[ "Prims.nat", "Prims.unit", "FStar.Math.Lemmas.lemma_mult_le_right", "FStar.Math.Lemmas.lemma_mult_le_left", "FStar.Math.Lemmas.nat_times_nat_is_nat" ]

[]

true

false

true

false

let lemma_mul_nat_bound a a' b b' =

let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; lemma_mult_le_right b' a a'; ()

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.lemma_mul_n_bound

val lemma_mul_n_bound (#n:nat) (a b:natN n) : Lemma (0 <= a * b /\ a * b <= (n - 1) * (n - 1))

let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1)

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 41, "end_line": 12, "start_col": 0, "start_line": 11 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' ()

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> FStar.Pervasives.Lemma (ensures 0 <= a * b /\ a * b <= (n - 1) * (n - 1))

FStar.Pervasives.Lemma

[ "lemma" ]

[]

[ "Prims.nat", "Vale.Def.Words_s.natN", "Vale.Bignum.Defs.lemma_mul_nat_bound", "Prims.op_Subtraction", "Prims.unit" ]

[]

true

false

true

false

let lemma_mul_n_bound #n a b =

lemma_mul_nat_bound a (n - 1) b (n - 1)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ReduceMulRev128

val va_codegen_success_ReduceMulRev128 : va_dummy:unit -> Tot va_pbool

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 ()))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 26, "end_line": 983, "start_col": 0, "start_line": 974 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ())))))))))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "total" ]

[]

[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ClmulRev128", "Vale.PPC64LE.InsVector.va_codegen_success_Vmr", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Gf128ModulusRev", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ClmulRev64High", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_AddPoly", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]

[]

false

true

false

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 ()))))))))))

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.lemma_mul_div_n

val lemma_mul_div_n (#n:pos) (a b:natN n) : Lemma (0 <= (a * b) / n /\ (a * b) / n < n)

let lemma_mul_div_n #n a b = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; nat_over_pos_is_nat (a * b) n; lemma_mul_div_n_lt a b

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 24, "end_line": 34, "start_col": 0, "start_line": 30 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' () let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1) #restart-solver let lemma_mul_div_n_lt #n a b = let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc (==) { (n - 1) * (n - 1); == {distributivity_sub_right (n - 1) n 1} (n - 1) * n - (n - 1) * 1; == {} (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; // 1 / n == 0 lemma_div_plus 1 (n - 2) n; // (1 + (n - 2) * n) / n == 1 / n + (n - 2) ()

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> FStar.Pervasives.Lemma (ensures 0 <= a * b / n /\ a * b / n < n)

FStar.Pervasives.Lemma

[ "lemma" ]

[]

[ "Prims.pos", "Vale.Def.Words_s.natN", "Vale.Bignum.Defs.lemma_mul_div_n_lt", "Prims.unit", "FStar.Math.Lemmas.nat_over_pos_is_nat", "FStar.Mul.op_Star", "FStar.Math.Lemmas.nat_times_nat_is_nat" ]

[]

true

false

true

false

let lemma_mul_div_n #n a b =

let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; nat_over_pos_is_nat (a * b) n; lemma_mul_div_n_lt a b

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_ReduceMulRev128

val va_code_ReduceMulRev128 : va_dummy:unit -> Tot va_code

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 ())))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 26, "end_line": 971, "start_col": 0, "start_line": 964 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "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" ]

[]

false

true

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 ())))))))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_quick_AddPoly

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: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))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 46, "end_line": 496, "start_col": 0, "start_line": 493 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Tot

[ "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" ]

[]

false

let va_quick_AddPoly (dst src1 src2: va_operand_vec_opr) (a 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))

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.mul_lo

val mul_lo (#n:pos) (a b:natN n) : natN n

let mul_lo #n a b = mul_lo_def a b

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 34, "end_line": 44, "start_col": 0, "start_line": 44 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' () let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1) #restart-solver let lemma_mul_div_n_lt #n a b = let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc (==) { (n - 1) * (n - 1); == {distributivity_sub_right (n - 1) n 1} (n - 1) * n - (n - 1) * 1; == {} (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; // 1 / n == 0 lemma_div_plus 1 (n - 2) n; // (1 + (n - 2) * n) / n == 1 / n + (n - 2) () let lemma_mul_div_n #n a b = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; nat_over_pos_is_nat (a * b) n; lemma_mul_div_n_lt a b let add_lo #n a b c = add_lo_def a b c let reveal_add_lo #n a b c = () let reveal_add_lo_all () = () let add_hi #n a b c = add_hi_def a b c let reveal_add_hi #n a b c = () let reveal_add_hi_all () = ()

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> Vale.Def.Words_s.natN n

Prims.Tot

[ "total" ]

[]

[ "Prims.pos", "Vale.Def.Words_s.natN", "Vale.Bignum.Defs.mul_lo_def" ]

[]

false

let mul_lo #n a b =

mul_lo_def a b

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.commutative

val commutative : f: (_: a -> _: a -> a) -> Prims.logical

let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 28, "end_line": 42, "start_col": 0, "start_line": 41 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

f: (_: a -> _: a -> a) -> Prims.logical

Prims.Tot

[ "total" ]

[]

[ "Prims.l_Forall", "Prims.eq2", "Prims.logical" ]

[]

false

true

let commutative #a (f: (a -> a -> a)) =

forall x y. f x y == f y x

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.is_unit

val is_unit : x: a -> f: (_: a -> _: a -> a) -> Prims.logical

let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 36, "end_line": 45, "start_col": 0, "start_line": 44 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

x: a -> f: (_: a -> _: a -> a) -> Prims.logical

Prims.Tot

[ "total" ]

[]

[ "Prims.l_Forall", "Prims.l_and", "Prims.eq2", "Prims.logical" ]

[]

false

true

let is_unit #a (x: a) (f: (a -> a -> a)) =

forall y. f x y == y /\ f y x == y

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_AddPoly

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 490, "start_col": 0, "start_line": 484 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.post

val post : a: Type -> c: OPLSS2021.ParDiv.comm_monoid s -> Type

let post #s a (c:comm_monoid s) = a -> c.r

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 42, "end_line": 63, "start_col": 0, "start_line": 63 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) }

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Type -> c: OPLSS2021.ParDiv.comm_monoid s -> Type

Prims.Tot

[ "total" ]

[]

[ "OPLSS2021.ParDiv.comm_monoid", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r" ]

[]

false

true

let post #s a (c: comm_monoid s) =

a -> c.r

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.associative

val associative : f: (_: a -> _: a -> a) -> Prims.logical

let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 42, "end_line": 39, "start_col": 0, "start_line": 38 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here.

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

f: (_: a -> _: a -> a) -> Prims.logical

Prims.Tot

[ "total" ]

[]

[ "Prims.l_Forall", "Prims.eq2", "Prims.logical" ]

[]

false

true

let associative #a (f: (a -> a -> a)) =

forall x y z. f x (f y z) == f (f x y) z

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Low64ToHigh

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 425, "start_col": 0, "start_line": 419 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.Bignum.Defs.fst

Vale.Bignum.Defs.mul_hi

val mul_hi (#n:pos) (a b:natN n) : natN n

let mul_hi #n a b = mul_hi_def a b

{ "file_name": "vale/code/crypto/bignum/Vale.Bignum.Defs.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 34, "end_line": 48, "start_col": 0, "start_line": 48 }

module Vale.Bignum.Defs open FStar.Mul let lemma_mul_nat_bound a a' b b' = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; lemma_mult_le_left a b b'; // a * b <= a * b' lemma_mult_le_right b' a a'; // a * b' <= a' * b' () let lemma_mul_n_bound #n a b = lemma_mul_nat_bound a (n - 1) b (n - 1) #restart-solver let lemma_mul_div_n_lt #n a b = let open FStar.Math.Lemmas in lemma_mul_n_bound a b; lemma_div_le (a * b) ((n - 1) * (n - 1)) n; calc (==) { (n - 1) * (n - 1); == {distributivity_sub_right (n - 1) n 1} (n - 1) * n - (n - 1) * 1; == {} (n - 2) * n + 1; }; if n > 1 then small_division_lemma_1 1 n; // 1 / n == 0 lemma_div_plus 1 (n - 2) n; // (1 + (n - 2) * n) / n == 1 / n + (n - 2) () let lemma_mul_div_n #n a b = let open FStar.Math.Lemmas in nat_times_nat_is_nat a b; nat_over_pos_is_nat (a * b) n; lemma_mul_div_n_lt a b let add_lo #n a b c = add_lo_def a b c let reveal_add_lo #n a b c = () let reveal_add_lo_all () = () let add_hi #n a b c = add_hi_def a b c let reveal_add_hi #n a b c = () let reveal_add_hi_all () = () let mul_lo #n a b = mul_lo_def a b let reveal_mul_lo #n a b = () let reveal_mul_lo_all () = ()

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.Bignum.Defs.fst" }

[ { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Vale.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Vale.Def.Words_s.natN n -> b: Vale.Def.Words_s.natN n -> Vale.Def.Words_s.natN n

Prims.Tot

[ "total" ]

[]

[ "Prims.pos", "Vale.Def.Words_s.natN", "Vale.Bignum.Defs.mul_hi_def" ]

[]

false

let mul_hi #n a b =

mul_hi_def a b

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.return

val return (#s: _) (#c: comm_monoid s) (#a: _) (x: a) (post: (a -> c.r)) : m a (post x) post

let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 9, "end_line": 202, "start_col": 0, "start_line": 200 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

x: a -> post: (_: a -> Mkcomm_monoid?.r c) -> OPLSS2021.ParDiv.m a (post x) post

Prims.Tot

[ "total" ]

[]

[ "OPLSS2021.ParDiv.comm_monoid", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.Ret", "OPLSS2021.ParDiv.m" ]

[]

false

let return #s (#c: comm_monoid s) #a (x: a) (post: (a -> c.r)) : m a (post x) post =

Ret x

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_AddPoly

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 16, "end_line": 464, "start_col": 0, "start_line": 455 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.comp

val comp : a: Type -> p: Mkcomm_monoid?.r OPLSS2021.ParDiv.hm -> q: (_: a -> Mkcomm_monoid?.r OPLSS2021.ParDiv.hm) -> Type0

let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q)

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 24, "end_line": 323, "start_col": 0, "start_line": 322 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked,

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Type -> p: Mkcomm_monoid?.r OPLSS2021.ParDiv.hm -> q: (_: a -> Mkcomm_monoid?.r OPLSS2021.ParDiv.hm) -> Type0

Prims.Tot

[ "total" ]

[]

[ "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm", "Prims.unit", "OPLSS2021.ParDiv.m" ]

[]

false

true

let comp (a: Type u#a) (p: hm.r) (q: (a -> hm.r)) =

unit -> Dv (m a p q)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.bnd

val bnd (a: Type u#a) (b: Type u#b) (p: hm.r) (q: (a -> hm.r)) (r: (b -> hm.r)) (f: comp a p q) (g: (x: a -> comp b (q x) r)) : comp b p r

let bnd (a:Type u#a) (b:Type u#b) (p:hm.r) (q: a -> hm.r) (r: b -> hm.r) (f:comp a p q) (g: (x:a -> comp b (q x) r)) : comp b p r = fun _ -> bind (f()) (fun x -> g x ())

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 41, "end_line": 332, "start_col": 0, "start_line": 329 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked, /// potentially divergent `m` computation let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q) let ret (a:Type u#a) (x:a) (p: a -> hm.r) : comp a (p x) p = fun _ -> return x p

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Type -> b: Type -> p: Mkcomm_monoid?.r OPLSS2021.ParDiv.hm -> q: (_: a -> Mkcomm_monoid?.r OPLSS2021.ParDiv.hm) -> r: (_: b -> Mkcomm_monoid?.r OPLSS2021.ParDiv.hm) -> f: OPLSS2021.ParDiv.comp a p q -> g: (x: a -> OPLSS2021.ParDiv.comp b (q x) r) -> OPLSS2021.ParDiv.comp b p r

Prims.Tot

[ "total" ]

[]

[ "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm", "OPLSS2021.ParDiv.comp", "Prims.unit", "OPLSS2021.ParDiv.bind", "OPLSS2021.ParDiv.m" ]

[]

false

let bnd (a: Type u#a) (b: Type u#b) (p: hm.r) (q: (a -> hm.r)) (r: (b -> hm.r)) (f: comp a p q) (g: (x: a -> comp b (q x) r)) : comp b p r =

fun _ -> bind (f ()) (fun x -> g x ())

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.par

val par (#s: _) (#c: comm_monoid s) (#p0 #q0: _) (m0: m unit p0 (fun _ -> q0)) (#p1 #q1: _) (m1: m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1))

let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ())

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 15, "end_line": 293, "start_col": 0, "start_line": 281 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

m0: OPLSS2021.ParDiv.m Prims.unit p0 (fun _ -> q0) -> m1: OPLSS2021.ParDiv.m Prims.unit p1 (fun _ -> q1) -> FStar.Pervasives.Dv (OPLSS2021.ParDiv.m Prims.unit (Mkcomm_monoid?.star c p0 p1) (fun _ -> Mkcomm_monoid?.star c q0 q1))

FStar.Pervasives.Dv

[]

[ "OPLSS2021.ParDiv.comm_monoid", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.m", "Prims.unit", "OPLSS2021.ParDiv.Par", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "OPLSS2021.ParDiv.Ret", "FStar.Universe.raise_t", "OPLSS2021.ParDiv.bind", "FStar.Universe.raise_val" ]

[]

false

true

false

let par #s (#c: comm_monoid s) #p0 #q0 (m0: m unit p0 (fun _ -> q0)) #p1 #q1 (m1: m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) =

let m0':m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1':m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ())

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.ret

val ret (a: Type u#a) (x: a) (p: (a -> hm.r)) : comp a (p x) p

let ret (a:Type u#a) (x:a) (p: a -> hm.r) : comp a (p x) p = fun _ -> return x p

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 23, "end_line": 327, "start_col": 0, "start_line": 325 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked, /// potentially divergent `m` computation let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Type -> x: a -> p: (_: a -> Mkcomm_monoid?.r OPLSS2021.ParDiv.hm) -> OPLSS2021.ParDiv.comp a (p x) p

Prims.Tot

[ "total" ]

[]

[ "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm", "Prims.unit", "OPLSS2021.ParDiv.return", "OPLSS2021.ParDiv.m", "OPLSS2021.ParDiv.comp" ]

[]

false

let ret (a: Type u#a) (x: a) (p: (a -> hm.r)) : comp a (p x) p =

fun _ -> return x p

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128MulRev128

val va_code_Gf128MulRev128 : va_dummy:unit -> Tot va_code

let va_code_Gf128MulRev128 () = (va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ())))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 65, "end_line": 1074, "start_col": 0, "start_line": 1073 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code

Prims.Tot

[ "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" ]

[]

false

true

false

let va_code_Gf128MulRev128 () =

(va_Block (va_CCons (va_code_ReduceMulRev128 ()) (va_CNil ())))

false

Spec.Curve25519.Test.fst

Spec.Curve25519.Test.test

val test : _: Prims.unit -> FStar.All.ALL Prims.bool

let test () = let res1 = test_scalarmult scalar1 point1 expected1 in let res2 = test_scalarmult scalar2 point2 expected2 in let res = res1 && res2 in if res then begin IO.print_string "\n\nCurve25519 : Success!\n"; true end else begin IO.print_string "\n\nCurve25519: Failure :(\n"; false end

{ "file_name": "specs/tests/Spec.Curve25519.Test.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 70, "end_line": 99, "start_col": 0, "start_line": 93 }

module Spec.Curve25519.Test open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Curve25519 module PS = Lib.PrintSequence #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* ********************* *) (* RFC 7748 Test Vectors *) (* ********************* *) let scalar1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xa5uy; 0x46uy; 0xe3uy; 0x6buy; 0xf0uy; 0x52uy; 0x7cuy; 0x9duy; 0x3buy; 0x16uy; 0x15uy; 0x4buy; 0x82uy; 0x46uy; 0x5euy; 0xdduy; 0x62uy; 0x14uy; 0x4cuy; 0x0auy; 0xc1uy; 0xfcuy; 0x5auy; 0x18uy; 0x50uy; 0x6auy; 0x22uy; 0x44uy; 0xbauy; 0x44uy; 0x9auy; 0xc4uy ] in assert_norm (List.Tot.length l == 32); of_list l let scalar2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x4buy; 0x66uy; 0xe9uy; 0xd4uy; 0xd1uy; 0xb4uy; 0x67uy; 0x3cuy; 0x5auy; 0xd2uy; 0x26uy; 0x91uy; 0x95uy; 0x7duy; 0x6auy; 0xf5uy; 0xc1uy; 0x1buy; 0x64uy; 0x21uy; 0xe0uy; 0xeauy; 0x01uy; 0xd4uy; 0x2cuy; 0xa4uy; 0x16uy; 0x9euy; 0x79uy; 0x18uy; 0xbauy; 0x0duy ] in assert_norm (List.Tot.length l == 32); of_list l let point1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xe6uy; 0xdbuy; 0x68uy; 0x67uy; 0x58uy; 0x30uy; 0x30uy; 0xdbuy; 0x35uy; 0x94uy; 0xc1uy; 0xa4uy; 0x24uy; 0xb1uy; 0x5fuy; 0x7cuy; 0x72uy; 0x66uy; 0x24uy; 0xecuy; 0x26uy; 0xb3uy; 0x35uy; 0x3buy; 0x10uy; 0xa9uy; 0x03uy; 0xa6uy; 0xd0uy; 0xabuy; 0x1cuy; 0x4cuy ] in assert_norm (List.Tot.length l == 32); of_list l let point2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xe5uy; 0x21uy; 0x0fuy; 0x12uy; 0x78uy; 0x68uy; 0x11uy; 0xd3uy; 0xf4uy; 0xb7uy; 0x95uy; 0x9duy; 0x05uy; 0x38uy; 0xaeuy; 0x2cuy; 0x31uy; 0xdbuy; 0xe7uy; 0x10uy; 0x6fuy; 0xc0uy; 0x3cuy; 0x3euy; 0xfcuy; 0x4cuy; 0xd5uy; 0x49uy; 0xc7uy; 0x15uy; 0xa4uy; 0x93uy ] in assert_norm (List.Tot.length l == 32); of_list l let expected1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xc3uy; 0xdauy; 0x55uy; 0x37uy; 0x9duy; 0xe9uy; 0xc6uy; 0x90uy; 0x8euy; 0x94uy; 0xeauy; 0x4duy; 0xf2uy; 0x8duy; 0x08uy; 0x4fuy; 0x32uy; 0xecuy; 0xcfuy; 0x03uy; 0x49uy; 0x1cuy; 0x71uy; 0xf7uy; 0x54uy; 0xb4uy; 0x07uy; 0x55uy; 0x77uy; 0xa2uy; 0x85uy; 0x52uy ] in assert_norm (List.Tot.length l == 32); of_list l let expected2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x95uy; 0xcbuy; 0xdeuy; 0x94uy; 0x76uy; 0xe8uy; 0x90uy; 0x7duy; 0x7auy; 0xaduy; 0xe4uy; 0x5cuy; 0xb4uy; 0xb8uy; 0x73uy; 0xf8uy; 0x8buy; 0x59uy; 0x5auy; 0x68uy; 0x79uy; 0x9fuy; 0xa1uy; 0x52uy; 0xe6uy; 0xf8uy; 0xf7uy; 0x64uy; 0x7auy; 0xacuy; 0x79uy; 0x57uy ] in assert_norm (List.Tot.length l == 32); of_list l val test_scalarmult: scalar:lbytes 32 -> point:lbytes 32 -> expected:lbytes 32 -> FStar.All.ML bool let test_scalarmult scalar point expected = let computed = scalarmult scalar point in PS.print_compare true 32 expected computed

{ "checked_file": "/", "dependencies": [ "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.RawIntTypes.fsti.checked", "Lib.PrintSequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Curve25519.Test.fst" }

[ { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.RawIntTypes", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

_: Prims.unit -> FStar.All.ALL Prims.bool

FStar.All.ALL

[]

[ "Prims.unit", "Prims.bool", "FStar.IO.print_string", "Prims.op_AmpAmp", "Spec.Curve25519.Test.test_scalarmult", "Spec.Curve25519.Test.scalar2", "Spec.Curve25519.Test.point2", "Spec.Curve25519.Test.expected2", "Spec.Curve25519.Test.scalar1", "Spec.Curve25519.Test.point1", "Spec.Curve25519.Test.expected1" ]

[]

false

true

false

let test () =

let res1 = test_scalarmult scalar1 point1 expected1 in let res2 = test_scalarmult scalar2 point2 expected2 in let res = res1 && res2 in if res then (IO.print_string "\n\nCurve25519 : Success!\n"; true) else (IO.print_string "\n\nCurve25519: Failure :(\n"; false)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.run

val run (#s #c: _) (i: nat) (#pre #a #post: _) (f: m a pre post) (state: s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state')

let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state'

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 21, "end_line": 194, "start_col": 0, "start_line": 184 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics *

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

i: Prims.nat -> f: OPLSS2021.ParDiv.m a pre post -> state: s -> FStar.Pervasives.Div (a * s)

FStar.Pervasives.Div

[]

[ "OPLSS2021.ParDiv.comm_monoid", "Prims.nat", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.post", "OPLSS2021.ParDiv.m", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple2", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__interp", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__emp", "OPLSS2021.ParDiv.run", "OPLSS2021.ParDiv.step_result", "OPLSS2021.ParDiv.step" ]

[ "recursion" ]

false

true

false

let rec run #s #c (i: nat) #pre #a #post (f: m a pre post) (state: s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') =

match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state'

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.frame_r

val frame_r (#a: Type u#a) (#p: hm.r) (#q: (a -> hm.r)) (#fr: hm.r) (f: (unit -> C a p q)) : C a (p `star` fr) (fun x -> (q x) `star` fr)

let frame_r (#a:Type u#a) (#p:hm.r) (#q: a -> hm.r) (#fr:hm.r) (f: unit -> C a p q) : C a (p `star` fr) (fun x -> q x `star` fr) = let ff : m a p q = (reify (f())) () in C?.reflect (fun () -> frame fr ff)

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 40, "end_line": 466, "start_col": 0, "start_line": 462 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked, /// potentially divergent `m` computation let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q) let ret (a:Type u#a) (x:a) (p: a -> hm.r) : comp a (p x) p = fun _ -> return x p let bnd (a:Type u#a) (b:Type u#b) (p:hm.r) (q: a -> hm.r) (r: b -> hm.r) (f:comp a p q) (g: (x:a -> comp b (q x) r)) : comp b p r = fun _ -> bind (f()) (fun x -> g x ()) reifiable reflectable effect { C (a:Type) (pre:hm.r) (q: a -> hm.r) with { repr = comp; return = ret; bind = bnd } } //////////////////////////////////////////////////////////////////////////////// // Some technicalities to lift pure and divergent computations to our new effect //////////////////////////////////////////////////////////////////////////////// assume val bind_pure_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> PURE a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (PURE, C) |> C = bind_pure_c_ assume val bind_div_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> DIV a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (DIV, C) |> C = bind_div_c_ //////////////////////////////////////////////////////////////////////////////// // Assuming a simple heap model for this demo //////////////////////////////////////////////////////////////////////////////// open FStar.Ghost /// For this demo, we'll also assume that this assertions are affine /// i.e., it's ok to forget some properties of the heap assume val hm_affine (r0 r1:hm.r) (h:heap) : Lemma (hm.interp (r0 `hm.star` r1) h ==> hm.interp r0 h) /// Here's a ref type assume val ref : Type u#0 -> Type u#0 /// And two atomic heap assertions assume val pts_to (r:ref 'a) (x:'a) : hm.r assume val pure (p:prop) : hm.r /// sel: Selected a reference from a heap, when that ref is live assume val sel (x:ref 'a) (v:erased 'a) (h:heap{hm.interp (pts_to x v) h}) : 'a /// this tells us that sel is frameable assume val sel_ok (x:ref 'a) (v:erased 'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v `hm.star` frame) h ==> (hm_affine (pts_to x v) frame h; let v' = sel x v h in hm.interp ((pts_to x v `hm.star` pure (reveal v == v')) `hm.star` frame) h)) /// upd: updates a heap at a given reference, when the heap contains it assume val upd (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap{hm.interp (pts_to x v0) h}) : Tot heap /// and upd is frameable too assume val upd_ok (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v0 `hm.star` frame) h ==> (hm_affine (pts_to x v0) frame h; let h' = upd x v0 v h in hm.interp (pts_to x v `hm.star` frame) h')) assume val rewrite (#a:Type u#a) (p: a -> hm.r) (x:erased a) (y:a) : C unit (p y `star` pure (reveal x == y)) (fun _ -> p x) //////////////////////////////////////////////////////////////////////////////// /// Here's a sample action for dereference let (!) (#v0:erased 'a) (x:ref 'a) : C 'a (pts_to x v0) (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) = C?.reflect (fun _ -> let act : action hm 'a = { pre = pts_to x v0; post = (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) ; sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; sel_ok x v0 h0 frame; (| sel x v0 h0, h0 |)) } in Act act Ret) /// And a sample action for assignment let (:=) (#v0:erased 'a) (x:ref 'a) (v:'a) : C unit (pts_to x v0) (fun _ -> pts_to x v) = C?.reflect (fun _ -> let act : action hm unit = { pre = pts_to x v0; post = (fun _ -> pts_to x v); sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; upd_ok x v0 v h0 frame; (| (), upd x v0 v h0 |)) } in Act act Ret)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

f: (_: Prims.unit -> OPLSS2021.ParDiv.C a) -> OPLSS2021.ParDiv.C a

OPLSS2021.ParDiv.C

[]

[ "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm", "Prims.unit", "OPLSS2021.ParDiv.frame", "OPLSS2021.ParDiv.m", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "OPLSS2021.ParDiv.comp", "OPLSS2021.ParDiv.star" ]

[]

false

true

false

let frame_r (#a: Type u#a) (#p: hm.r) (#q: (a -> hm.r)) (#fr: hm.r) (f: (unit -> C a p q)) : C a (p `star` fr) (fun x -> (q x) `star` fr) =

let ff:m a p q = (reify (f ())) () in C?.reflect (fun () -> frame fr ff)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.incr

val incr (#v0: erased int) (x: ref int) : C unit (pts_to x v0) (fun u -> pts_to x (v0 + 1))

let incr (#v0:erased int) (x:ref int) : C unit (pts_to x v0) (fun u -> pts_to x (v0 + 1)) = let v = !x in frame_r (fun _ -> x := v + 1); rewrite (fun y -> pts_to x (y + 1)) v0 v

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 44, "end_line": 481, "start_col": 0, "start_line": 477 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked, /// potentially divergent `m` computation let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q) let ret (a:Type u#a) (x:a) (p: a -> hm.r) : comp a (p x) p = fun _ -> return x p let bnd (a:Type u#a) (b:Type u#b) (p:hm.r) (q: a -> hm.r) (r: b -> hm.r) (f:comp a p q) (g: (x:a -> comp b (q x) r)) : comp b p r = fun _ -> bind (f()) (fun x -> g x ()) reifiable reflectable effect { C (a:Type) (pre:hm.r) (q: a -> hm.r) with { repr = comp; return = ret; bind = bnd } } //////////////////////////////////////////////////////////////////////////////// // Some technicalities to lift pure and divergent computations to our new effect //////////////////////////////////////////////////////////////////////////////// assume val bind_pure_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> PURE a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (PURE, C) |> C = bind_pure_c_ assume val bind_div_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> DIV a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (DIV, C) |> C = bind_div_c_ //////////////////////////////////////////////////////////////////////////////// // Assuming a simple heap model for this demo //////////////////////////////////////////////////////////////////////////////// open FStar.Ghost /// For this demo, we'll also assume that this assertions are affine /// i.e., it's ok to forget some properties of the heap assume val hm_affine (r0 r1:hm.r) (h:heap) : Lemma (hm.interp (r0 `hm.star` r1) h ==> hm.interp r0 h) /// Here's a ref type assume val ref : Type u#0 -> Type u#0 /// And two atomic heap assertions assume val pts_to (r:ref 'a) (x:'a) : hm.r assume val pure (p:prop) : hm.r /// sel: Selected a reference from a heap, when that ref is live assume val sel (x:ref 'a) (v:erased 'a) (h:heap{hm.interp (pts_to x v) h}) : 'a /// this tells us that sel is frameable assume val sel_ok (x:ref 'a) (v:erased 'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v `hm.star` frame) h ==> (hm_affine (pts_to x v) frame h; let v' = sel x v h in hm.interp ((pts_to x v `hm.star` pure (reveal v == v')) `hm.star` frame) h)) /// upd: updates a heap at a given reference, when the heap contains it assume val upd (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap{hm.interp (pts_to x v0) h}) : Tot heap /// and upd is frameable too assume val upd_ok (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v0 `hm.star` frame) h ==> (hm_affine (pts_to x v0) frame h; let h' = upd x v0 v h in hm.interp (pts_to x v `hm.star` frame) h')) assume val rewrite (#a:Type u#a) (p: a -> hm.r) (x:erased a) (y:a) : C unit (p y `star` pure (reveal x == y)) (fun _ -> p x) //////////////////////////////////////////////////////////////////////////////// /// Here's a sample action for dereference let (!) (#v0:erased 'a) (x:ref 'a) : C 'a (pts_to x v0) (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) = C?.reflect (fun _ -> let act : action hm 'a = { pre = pts_to x v0; post = (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) ; sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; sel_ok x v0 h0 frame; (| sel x v0 h0, h0 |)) } in Act act Ret) /// And a sample action for assignment let (:=) (#v0:erased 'a) (x:ref 'a) (v:'a) : C unit (pts_to x v0) (fun _ -> pts_to x v) = C?.reflect (fun _ -> let act : action hm unit = { pre = pts_to x v0; post = (fun _ -> pts_to x v); sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; upd_ok x v0 v h0 frame; (| (), upd x v0 v h0 |)) } in Act act Ret) let frame_r (#a:Type u#a) (#p:hm.r) (#q: a -> hm.r) (#fr:hm.r) (f: unit -> C a p q) : C a (p `star` fr) (fun x -> q x `star` fr) = let ff : m a p q = (reify (f())) () in C?.reflect (fun () -> frame fr ff) let par_c (#p0:hm.r) (#q0: hm.r) (#p1:hm.r) (#q1: hm.r) ($f0: unit -> C unit p0 (fun _ -> q0)) ($f1: unit -> C unit p1 (fun _ -> q1)) : C unit (p0 `star` p1) (fun _ -> q0 `star` q1) = let ff0 : m unit p0 (fun _ -> q0) = reify (f0()) () in let ff1 : m unit p1 (fun _ -> q1) = reify (f1()) () in C?.reflect (fun () -> par ff0 ff1)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

x: OPLSS2021.ParDiv.ref Prims.int -> OPLSS2021.ParDiv.C Prims.unit

OPLSS2021.ParDiv.C

[]

[ "FStar.Ghost.erased", "Prims.int", "OPLSS2021.ParDiv.ref", "OPLSS2021.ParDiv.rewrite", "OPLSS2021.ParDiv.pts_to", "Prims.op_Addition", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm", "Prims.unit", "OPLSS2021.ParDiv.frame_r", "FStar.Ghost.reveal", "OPLSS2021.ParDiv.pure", "Prims.eq2", "OPLSS2021.ParDiv.op_Colon_Equals", "OPLSS2021.ParDiv.op_Bang" ]

[]

false

true

false

let incr (#v0: erased int) (x: ref int) : C unit (pts_to x v0) (fun u -> pts_to x (v0 + 1)) =

let v = !x in frame_r (fun _ -> x := v + 1); rewrite (fun y -> pts_to x (y + 1)) v0 v

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.par_c

val par_c (#p0 #q0 #p1 #q1: hm.r) ($f0: (unit -> C unit p0 (fun _ -> q0))) ($f1: (unit -> C unit p1 (fun _ -> q1))) : C unit (p0 `star` p1) (fun _ -> q0 `star` q1)

let par_c (#p0:hm.r) (#q0: hm.r) (#p1:hm.r) (#q1: hm.r) ($f0: unit -> C unit p0 (fun _ -> q0)) ($f1: unit -> C unit p1 (fun _ -> q1)) : C unit (p0 `star` p1) (fun _ -> q0 `star` q1) = let ff0 : m unit p0 (fun _ -> q0) = reify (f0()) () in let ff1 : m unit p1 (fun _ -> q1) = reify (f1()) () in C?.reflect (fun () -> par ff0 ff1)

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 40, "end_line": 475, "start_col": 0, "start_line": 468 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked, /// potentially divergent `m` computation let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q) let ret (a:Type u#a) (x:a) (p: a -> hm.r) : comp a (p x) p = fun _ -> return x p let bnd (a:Type u#a) (b:Type u#b) (p:hm.r) (q: a -> hm.r) (r: b -> hm.r) (f:comp a p q) (g: (x:a -> comp b (q x) r)) : comp b p r = fun _ -> bind (f()) (fun x -> g x ()) reifiable reflectable effect { C (a:Type) (pre:hm.r) (q: a -> hm.r) with { repr = comp; return = ret; bind = bnd } } //////////////////////////////////////////////////////////////////////////////// // Some technicalities to lift pure and divergent computations to our new effect //////////////////////////////////////////////////////////////////////////////// assume val bind_pure_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> PURE a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (PURE, C) |> C = bind_pure_c_ assume val bind_div_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> DIV a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (DIV, C) |> C = bind_div_c_ //////////////////////////////////////////////////////////////////////////////// // Assuming a simple heap model for this demo //////////////////////////////////////////////////////////////////////////////// open FStar.Ghost /// For this demo, we'll also assume that this assertions are affine /// i.e., it's ok to forget some properties of the heap assume val hm_affine (r0 r1:hm.r) (h:heap) : Lemma (hm.interp (r0 `hm.star` r1) h ==> hm.interp r0 h) /// Here's a ref type assume val ref : Type u#0 -> Type u#0 /// And two atomic heap assertions assume val pts_to (r:ref 'a) (x:'a) : hm.r assume val pure (p:prop) : hm.r /// sel: Selected a reference from a heap, when that ref is live assume val sel (x:ref 'a) (v:erased 'a) (h:heap{hm.interp (pts_to x v) h}) : 'a /// this tells us that sel is frameable assume val sel_ok (x:ref 'a) (v:erased 'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v `hm.star` frame) h ==> (hm_affine (pts_to x v) frame h; let v' = sel x v h in hm.interp ((pts_to x v `hm.star` pure (reveal v == v')) `hm.star` frame) h)) /// upd: updates a heap at a given reference, when the heap contains it assume val upd (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap{hm.interp (pts_to x v0) h}) : Tot heap /// and upd is frameable too assume val upd_ok (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v0 `hm.star` frame) h ==> (hm_affine (pts_to x v0) frame h; let h' = upd x v0 v h in hm.interp (pts_to x v `hm.star` frame) h')) assume val rewrite (#a:Type u#a) (p: a -> hm.r) (x:erased a) (y:a) : C unit (p y `star` pure (reveal x == y)) (fun _ -> p x) //////////////////////////////////////////////////////////////////////////////// /// Here's a sample action for dereference let (!) (#v0:erased 'a) (x:ref 'a) : C 'a (pts_to x v0) (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) = C?.reflect (fun _ -> let act : action hm 'a = { pre = pts_to x v0; post = (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) ; sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; sel_ok x v0 h0 frame; (| sel x v0 h0, h0 |)) } in Act act Ret) /// And a sample action for assignment let (:=) (#v0:erased 'a) (x:ref 'a) (v:'a) : C unit (pts_to x v0) (fun _ -> pts_to x v) = C?.reflect (fun _ -> let act : action hm unit = { pre = pts_to x v0; post = (fun _ -> pts_to x v); sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; upd_ok x v0 v h0 frame; (| (), upd x v0 v h0 |)) } in Act act Ret) let frame_r (#a:Type u#a) (#p:hm.r) (#q: a -> hm.r) (#fr:hm.r) (f: unit -> C a p q) : C a (p `star` fr) (fun x -> q x `star` fr) = let ff : m a p q = (reify (f())) () in C?.reflect (fun () -> frame fr ff)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

$f0: (_: Prims.unit -> OPLSS2021.ParDiv.C Prims.unit) -> $f1: (_: Prims.unit -> OPLSS2021.ParDiv.C Prims.unit) -> OPLSS2021.ParDiv.C Prims.unit

OPLSS2021.ParDiv.C

[]

[ "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm", "Prims.unit", "OPLSS2021.ParDiv.par", "OPLSS2021.ParDiv.m", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "OPLSS2021.ParDiv.comp", "OPLSS2021.ParDiv.star" ]

[]

false

true

false

let par_c (#p0 #q0 #p1 #q1: hm.r) ($f0: (unit -> C unit p0 (fun _ -> q0))) ($f1: (unit -> C unit p1 (fun _ -> q1))) : C unit (p0 `star` p1) (fun _ -> q0 `star` q1) =

let ff0:m unit p0 (fun _ -> q0) = reify (f0 ()) () in let ff1:m unit p1 (fun _ -> q1) = reify (f1 ()) () in C?.reflect (fun () -> par ff0 ff1)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.par_incr

val par_incr (#v0 #v1: erased int) (x0 x1: ref int) : C unit ((pts_to x0 v0) `star` (pts_to x1 v1)) (fun _ -> (pts_to x0 (v0 + 1)) `star` (pts_to x1 (v1 + 1)))

let par_incr (#v0 #v1:erased int) (x0 x1: ref int) : C unit (pts_to x0 v0 `star` pts_to x1 v1) (fun _ -> pts_to x0 (v0 + 1) `star` pts_to x1 (v1 + 1)) = par_c (fun _ -> incr x0) (fun _ -> incr x1)

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 28, "end_line": 488, "start_col": 0, "start_line": 483 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every /// frameable action let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k) (** * [par]: Parallel composition * Works by just using the `Par` node and `Ret` as its continuation **) let par #s (#c:comm_monoid s) #p0 #q0 (m0:m unit p0 (fun _ -> q0)) #p1 #q1 (m1:m unit p1 (fun _ -> q1)) : Dv (m unit (p0 `c.star` p1) (fun _ -> q0 `c.star` q1)) = let m0' : m (U.raise_t unit) p0 (fun _ -> q0) = bind m0 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in let m1' : m (U.raise_t unit) p1 (fun _ -> q1) = bind m1 (fun _ -> Ret (U.raise_val u#0 u#0 ())) in Par p0 q0 m0' p1 q1 m1' (Ret ()) //////////////////////////////////////////////////////////////////////////////// //The rest of this module shows how this semantic can be packaged up as an //effect in F* //////////////////////////////////////////////////////////////////////////////// /// Now for an instantiation of the state with a heap /// just to demonstrate how that would go /// Heaps are usually in a universe higher than the values they store /// Pick it in universe 1 assume val heap : Type u#1 [@@erasable] assume type r : Type u#1 assume val emp : r assume val star : r -> r -> r assume val interp : r -> heap -> prop /// Assume some monoid of heap assertions let hm : comm_monoid u#1 u#1 heap = { r = r; emp = emp; star = star; interp = interp; laws = magic() } /// The representation of our effect is a thunked, /// potentially divergent `m` computation let comp (a:Type u#a) (p:hm.r) (q:a -> hm.r) = unit -> Dv (m a p q) let ret (a:Type u#a) (x:a) (p: a -> hm.r) : comp a (p x) p = fun _ -> return x p let bnd (a:Type u#a) (b:Type u#b) (p:hm.r) (q: a -> hm.r) (r: b -> hm.r) (f:comp a p q) (g: (x:a -> comp b (q x) r)) : comp b p r = fun _ -> bind (f()) (fun x -> g x ()) reifiable reflectable effect { C (a:Type) (pre:hm.r) (q: a -> hm.r) with { repr = comp; return = ret; bind = bnd } } //////////////////////////////////////////////////////////////////////////////// // Some technicalities to lift pure and divergent computations to our new effect //////////////////////////////////////////////////////////////////////////////// assume val bind_pure_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> PURE a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (PURE, C) |> C = bind_pure_c_ assume val bind_div_c_ (a:Type) (b:Type) (wp:pure_wp a) (pre:hm.r) (post:b -> hm.r) (f:eqtype_as_type unit -> DIV a wp) (g:(x:a -> comp b pre post)) : Pure (comp b pre post) (requires wp (fun _ -> True)) (ensures fun _ -> True) polymonadic_bind (DIV, C) |> C = bind_div_c_ //////////////////////////////////////////////////////////////////////////////// // Assuming a simple heap model for this demo //////////////////////////////////////////////////////////////////////////////// open FStar.Ghost /// For this demo, we'll also assume that this assertions are affine /// i.e., it's ok to forget some properties of the heap assume val hm_affine (r0 r1:hm.r) (h:heap) : Lemma (hm.interp (r0 `hm.star` r1) h ==> hm.interp r0 h) /// Here's a ref type assume val ref : Type u#0 -> Type u#0 /// And two atomic heap assertions assume val pts_to (r:ref 'a) (x:'a) : hm.r assume val pure (p:prop) : hm.r /// sel: Selected a reference from a heap, when that ref is live assume val sel (x:ref 'a) (v:erased 'a) (h:heap{hm.interp (pts_to x v) h}) : 'a /// this tells us that sel is frameable assume val sel_ok (x:ref 'a) (v:erased 'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v `hm.star` frame) h ==> (hm_affine (pts_to x v) frame h; let v' = sel x v h in hm.interp ((pts_to x v `hm.star` pure (reveal v == v')) `hm.star` frame) h)) /// upd: updates a heap at a given reference, when the heap contains it assume val upd (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap{hm.interp (pts_to x v0) h}) : Tot heap /// and upd is frameable too assume val upd_ok (x:ref 'a) (v0:erased 'a) (v:'a) (h:heap) (frame:hm.r) : Lemma (hm.interp (pts_to x v0 `hm.star` frame) h ==> (hm_affine (pts_to x v0) frame h; let h' = upd x v0 v h in hm.interp (pts_to x v `hm.star` frame) h')) assume val rewrite (#a:Type u#a) (p: a -> hm.r) (x:erased a) (y:a) : C unit (p y `star` pure (reveal x == y)) (fun _ -> p x) //////////////////////////////////////////////////////////////////////////////// /// Here's a sample action for dereference let (!) (#v0:erased 'a) (x:ref 'a) : C 'a (pts_to x v0) (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) = C?.reflect (fun _ -> let act : action hm 'a = { pre = pts_to x v0; post = (fun v -> pts_to x v0 `star` pure (reveal v0 == v)) ; sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; sel_ok x v0 h0 frame; (| sel x v0 h0, h0 |)) } in Act act Ret) /// And a sample action for assignment let (:=) (#v0:erased 'a) (x:ref 'a) (v:'a) : C unit (pts_to x v0) (fun _ -> pts_to x v) = C?.reflect (fun _ -> let act : action hm unit = { pre = pts_to x v0; post = (fun _ -> pts_to x v); sem = (fun frame h0 -> hm_affine (pts_to x v0) frame h0; upd_ok x v0 v h0 frame; (| (), upd x v0 v h0 |)) } in Act act Ret) let frame_r (#a:Type u#a) (#p:hm.r) (#q: a -> hm.r) (#fr:hm.r) (f: unit -> C a p q) : C a (p `star` fr) (fun x -> q x `star` fr) = let ff : m a p q = (reify (f())) () in C?.reflect (fun () -> frame fr ff) let par_c (#p0:hm.r) (#q0: hm.r) (#p1:hm.r) (#q1: hm.r) ($f0: unit -> C unit p0 (fun _ -> q0)) ($f1: unit -> C unit p1 (fun _ -> q1)) : C unit (p0 `star` p1) (fun _ -> q0 `star` q1) = let ff0 : m unit p0 (fun _ -> q0) = reify (f0()) () in let ff1 : m unit p1 (fun _ -> q1) = reify (f1()) () in C?.reflect (fun () -> par ff0 ff1) let incr (#v0:erased int) (x:ref int) : C unit (pts_to x v0) (fun u -> pts_to x (v0 + 1)) = let v = !x in frame_r (fun _ -> x := v + 1); rewrite (fun y -> pts_to x (y + 1)) v0 v

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

x0: OPLSS2021.ParDiv.ref Prims.int -> x1: OPLSS2021.ParDiv.ref Prims.int -> OPLSS2021.ParDiv.C Prims.unit

OPLSS2021.ParDiv.C

[]

[ "FStar.Ghost.erased", "Prims.int", "OPLSS2021.ParDiv.ref", "OPLSS2021.ParDiv.par_c", "OPLSS2021.ParDiv.pts_to", "FStar.Ghost.reveal", "Prims.op_Addition", "Prims.unit", "OPLSS2021.ParDiv.incr", "OPLSS2021.ParDiv.star", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.heap", "OPLSS2021.ParDiv.hm" ]

[]

false

true

false

let par_incr (#v0 #v1: erased int) (x0 x1: ref int) : C unit ((pts_to x0 v0) `star` (pts_to x1 v1)) (fun _ -> (pts_to x0 (v0 + 1)) `star` (pts_to x1 (v1 + 1))) =

par_c (fun _ -> incr x0) (fun _ -> incr x1)

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.bind

val bind (#s: Type u#s) (#c: comm_monoid s) (#a: Type u#a) (#b: Type u#b) (#p: c.r) (#q: (a -> c.r)) (#r: (b -> c.r)) (f: m a p q) (g: (x: a -> Dv (m b (q x) r))) : Dv (m b p r)

let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 23, "end_line": 234, "start_col": 0, "start_line": 208 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret`

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

f: OPLSS2021.ParDiv.m a p q -> g: (x: a -> FStar.Pervasives.Dv (OPLSS2021.ParDiv.m b (q x) r)) -> FStar.Pervasives.Dv (OPLSS2021.ParDiv.m b p r)

FStar.Pervasives.Dv

[]

[ "OPLSS2021.ParDiv.comm_monoid", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.m", "OPLSS2021.ParDiv.action", "OPLSS2021.ParDiv.__proj__Mkaction__item__post", "OPLSS2021.ParDiv.Act", "OPLSS2021.ParDiv.bind", "FStar.Universe.raise_t", "Prims.unit", "OPLSS2021.ParDiv.post", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "OPLSS2021.ParDiv.Par", "OPLSS2021.ParDiv.Ret", "FStar.Universe.raise_val" ]

[ "recursion" ]

false

true

false

let rec bind (#s: Type u#s) (#c: comm_monoid s) (#a: Type u#a) (#b: Type u#b) (#p: c.r) (#q: (a -> c.r)) (#r: (b -> c.r)) (f: m a p q) (g: (x: a -> Dv (m b (q x) r))) : Dv (m b p r) =

match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k:m b (post0 `c.star` post1) r = bind k g in let ml':m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr':m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.frame_action

val frame_action (#s: Type) (#c: comm_monoid s) (#a: Type) (f: action c a) (fr: c.r) : g: action c a {g.post == (fun x -> (f.post x) `c.star` fr) /\ g.pre == f.pre `c.star` fr}

let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem }

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 17, "end_line": 255, "start_col": 0, "start_line": 243 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

f: OPLSS2021.ParDiv.action c a -> fr: Mkcomm_monoid?.r c -> g: OPLSS2021.ParDiv.action c a { Mkaction?.post g == (fun x -> Mkcomm_monoid?.star c (Mkaction?.post f x) fr) /\ Mkaction?.pre g == Mkcomm_monoid?.star c (Mkaction?.pre f) fr }

Prims.Tot

[ "total" ]

[]

[ "OPLSS2021.ParDiv.comm_monoid", "OPLSS2021.ParDiv.action", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.Mkaction", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__interp", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "Prims.dtuple2", "OPLSS2021.ParDiv.__proj__Mkaction__item__post", "Prims.Mkdtuple2", "OPLSS2021.ParDiv.__proj__Mkaction__item__sem", "OPLSS2021.ParDiv.__proj__Mkaction__item__pre", "Prims.l_and", "Prims.eq2" ]

[]

false

let frame_action (#s: Type) (#c: comm_monoid s) (#a: Type) (f: action c a) (fr: c.r) : g: action c a {g.post == (fun x -> (f.post x) `c.star` fr) /\ g.pre == f.pre `c.star` fr} =

let pre = f.pre `c.star` fr in let post x = (f.post x) `c.star` fr in let sem (frame: c.r) (s0: s{c.interp (c.star pre frame) s0}) : (x: a & s1: s{c.interp ((post x) `c.star` frame) s1}) = let (| x , s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem }

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.step

val step (#s #c: _) (i: nat) (#pre #a #post: _) (f: m a pre post) (frame: c.r) (state: s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True)

let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 86, "end_line": 174, "start_col": 0, "start_line": 138 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] *

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

i: Prims.nat -> f: OPLSS2021.ParDiv.m a pre post -> frame: Mkcomm_monoid?.r c -> state: s -> FStar.Pervasives.Div (OPLSS2021.ParDiv.step_result a post frame)

FStar.Pervasives.Div

[]

[ "OPLSS2021.ParDiv.comm_monoid", "Prims.nat", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.post", "OPLSS2021.ParDiv.m", "OPLSS2021.ParDiv.Step", "OPLSS2021.ParDiv.Ret", "OPLSS2021.ParDiv.step_result", "OPLSS2021.ParDiv.action", "OPLSS2021.ParDiv.__proj__Mkaction__item__post", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__interp", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "Prims.dtuple2", "OPLSS2021.ParDiv.__proj__Mkaction__item__sem", "FStar.Universe.raise_t", "Prims.unit", "OPLSS2021.ParDiv.bools", "OPLSS2021.ParDiv.Par", "OPLSS2021.ParDiv.step", "Prims.op_Addition", "Prims.bool", "Prims.l_True" ]

[ "recursion" ]

false

true

false

let rec step #s #c (i: nat) #pre #a #post (f: m a pre post) (frame: c.r) (state: s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) =

match f with | Ret x -> Step (post x) (Ret x) state i | Act act1 k -> let (| b , state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> if bools i then let Step pre0' m0' state' j = step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j

false

OPLSS2021.ParDiv.fst

OPLSS2021.ParDiv.frame

val frame (#s: Type u#s) (#c: comm_monoid s) (#a: Type u#a) (#p: c.r) (#q: (a -> c.r)) (fr: c.r) (f: m a p q) : Dv (m a (p `c.star` fr) (fun x -> (q x) `c.star` fr))

let rec frame (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#p:c.r) (#q:a -> c.r) (fr:c.r) (f:m a p q) : Dv (m a (p `c.star` fr) (fun x -> q x `c.star` fr)) = match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k)

{ "file_name": "examples/oplss2021/OPLSS2021.ParDiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 23, "end_line": 275, "start_col": 0, "start_line": 260 }

(* Copyright 2019-2021 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. *) module OPLSS2021.ParDiv module U = FStar.Universe (** * This module provides a semantic model for a combined effect of * divergence, state and parallel composition of atomic actions. * * It also builds a generic separation-logic-style program logic * for this effect, in a partial correctness setting. * It is also be possible to give a variant of this semantics for * total correctness. However, we specifically focus on partial correctness * here so that this semantics can be instantiated with lock operations, * which may deadlock. See ParTot.fst for a total-correctness variant of * these semantics. * *) /// We start by defining some basic notions for a commutative monoid. /// /// We could reuse FStar.Algebra.CommMonoid, but this style with /// quanitifers was more convenient for the proof done here. let associative #a (f: a -> a -> a) = forall x y z. f x (f y z) == f (f x y) z let commutative #a (f: a -> a -> a) = forall x y. f x y == f y x let is_unit #a (x:a) (f:a -> a -> a) = forall y. f x y == y /\ f y x == y (** * In addition to being a commutative monoid over the carrier [r] * a [comm_monoid s] also gives an interpretation of `r` * as a predicate on states [s] *) noeq type comm_monoid (s:Type) = { r:Type; emp: r; star: r -> r -> r; interp: r -> s -> prop; laws: squash (associative star /\ commutative star /\ is_unit emp star) } (** [post a c] is a postcondition on [a]-typed result *) let post #s a (c:comm_monoid s) = a -> c.r (** [action c s]: atomic actions are, intuitively, single steps of * computations interpreted as a [s -> a & s]. * However, we augment them with two features: * 1. they have pre-condition [pre] and post-condition [post] * 2. their type guarantees that they are frameable * Thanks to Matt Parkinson for suggesting to set up atomic actions * this way. * Also see: https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/views.pdf *) noeq type action #s (c:comm_monoid s) (a:Type) = { pre: c.r; post: a -> c.r; sem: (frame:c.r -> s0:s{c.interp (c.star pre frame) s0} -> (x:a & s1:s{c.interp (post x `c.star` frame) s1})); } (** [m s c a pre post] : * A free monad for divergence, state and parallel composition * with generic actions. The main idea: * * Every continuation may be divergent. As such, [m] is indexed by * pre- and post-conditions so that we can do proofs * intrinsically. * * Universe-polymorphic in both the state and result type * *) noeq type m (#s:Type u#s) (#c:comm_monoid u#s u#s s) : (a:Type u#a) -> c.r -> post a c -> Type = | Ret : #a:_ -> #post:(a -> c.r) -> x:a -> m a (post x) post | Act : #a:_ -> #post:(a -> c.r) -> #b:_ -> f:action c b -> k:(x:b -> Dv (m a (f.post x) post)) -> m a f.pre post | Par : pre0:_ -> post0:_ -> m0: m (U.raise_t unit) pre0 (fun _ -> post0) -> pre1:_ -> post1:_ -> m1: m (U.raise_t unit) pre1 (fun _ -> post1) -> #a:_ -> #post:_ -> k:m a (c.star post0 post1) post -> m a (c.star pre0 pre1) post /// We assume a stream of booleans for the semantics given below /// to resolve the nondeterminism of Par assume val bools : nat -> bool /// The semantics comes in two levels: /// /// 1. A single-step relation [step] which selects an atomic action to /// execute in the tree of threads /// /// 2. A top-level driver [run] which repeatedly invokes [step] /// until it returns with a result and final state. (** * [step_result s c a q frame]: * The result of evaluating a single step of a program * - s, c: The state and its monoid * - a : the result type * - q : the postcondition to be satisfied after fully reducing the programs * - frame: a framed assertion to carry through the proof *) noeq type step_result #s (#c:comm_monoid s) a (q:post a c) (frame:c.r) = | Step: p:_ -> //precondition of the reduct m a p q -> //the reduct state:s {c.interp (p `c.star` frame) state} -> //the next state, satisfying the precondition of the reduct nat -> //position in the stream of booleans (less important) step_result a q frame (** * [step i f frame state]: Reduces a single step of [f], while framing * the assertion [frame] * *) let rec step #s #c (i:nat) #pre #a #post (f:m a pre post) (frame:c.r) (state:s) : Div (step_result a post frame) (requires c.interp (pre `c.star` frame) state) (ensures fun _ -> True) = match f with | Ret x -> //Nothing to do, just return Step (post x) (Ret x) state i | Act act1 k -> //Evaluate the action and return the continuation as the reduct let (| b, state' |) = act1.sem frame state in Step (act1.post b) (k b) state' i | Par pre0 post0 (Ret x0) pre1 post1 (Ret x1) k -> //If both sides of a `Par` have returned //then step to the continuation Step (post0 `c.star` post1) k state i | Par pre0 post0 m0 pre1 post1 m1 k -> //Otherwise, sample a boolean and choose to go left or right to pick //the next command to reduce //The two sides are symmetric if bools i then let Step pre0' m0' state' j = //Notice that, inductively, we instantiate the frame extending //it to include the precondition of the other side of the par step (i + 1) m0 (pre1 `c.star` frame) state in Step (pre0' `c.star` pre1) (Par pre0' post0 m0' pre1 post1 m1 k) state' j else let Step pre1' m1' state' j = step (i + 1) m1 (pre0 `c.star` frame) state in Step (pre0 `c.star` pre1') (Par pre0 post0 m0 pre1' post1 m1' k) state' j (** * [run i f state]: Top-level driver that repeatedly invokes [step] * * The type of [run] is the main theorem. It states that it is sound * to interpret the indices of `m` as a Hoare triple in a * partial-correctness semantics * *) let rec run #s #c (i:nat) #pre #a #post (f:m a pre post) (state:s) : Div (a & s) (requires c.interp pre state) (ensures fun (x, state') -> c.interp (post x) state') = match f with | Ret x -> x, state | _ -> let Step pre' f' state' j = step i f c.emp state in run j f' state' /// eff is a dependent parameterized monad. We give a return and bind /// for it, though we don't prove the monad laws (** [return]: easy, just use Ret *) let return #s (#c:comm_monoid s) #a (x:a) (post:a -> c.r) : m a (post x) post = Ret x (** * [bind]: sequential composition works by pushing `g` into the continuation * at each node, finally applying it at the terminal `Ret` *) let rec bind (#s:Type u#s) (#c:comm_monoid s) (#a:Type u#a) (#b:Type u#b) (#p:c.r) (#q:a -> c.r) (#r:b -> c.r) (f:m a p q) (g: (x:a -> Dv (m b (q x) r))) : Dv (m b p r) = match f with | Ret x -> g x | Act act k -> Act act (fun x -> bind (k x) g) | Par pre0 post0 ml pre1 post1 mr k -> let k : m b (post0 `c.star` post1) r = bind k g in let ml' : m (U.raise_t u#0 u#b unit) pre0 (fun _ -> post0) = bind ml (fun _ -> Ret (U.raise_val u#0 u#b ())) in let mr' : m (U.raise_t u#0 u#b unit) pre1 (fun _ -> post1) = bind mr (fun _ -> Ret (U.raise_val u#0 u#b ())) in Par #s #c pre0 post0 ml' pre1 post1 mr' #b #r k (* Next, a main property of this semantics is that it supports the frame rule. Here's a proof of it *) /// First, we prove that individual actions can be framed /// /// --- That's not so hard, since we specifically required actions to /// be frameable let frame_action (#s:Type) (#c:comm_monoid s) (#a:Type) (f:action c a) (fr:c.r) : g:action c a { g.post == (fun x -> f.post x `c.star` fr) /\ g.pre == f.pre `c.star` fr } = let pre = f.pre `c.star` fr in let post x = f.post x `c.star` fr in let sem (frame:c.r) (s0:s{c.interp (c.star pre frame) s0}) : (x:a & s1:s{c.interp (post x `c.star` frame) s1}) = let (| x, s1 |) = f.sem (fr `c.star` frame) s0 in (| x, s1 |) in { pre = pre; post = post; sem = sem } /// Now, to prove that computations can be framed, we'll just thread /// the frame through the entire computation, passing it over every

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Universe.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "OPLSS2021.ParDiv.fst" }

[ { "abbrev": true, "full_module": "FStar.Universe", "short_module": "U" }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "OPLSS2021", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

fr: Mkcomm_monoid?.r c -> f: OPLSS2021.ParDiv.m a p q -> FStar.Pervasives.Dv (OPLSS2021.ParDiv.m a (Mkcomm_monoid?.star c p fr) (fun x -> Mkcomm_monoid?.star c (q x) fr))

FStar.Pervasives.Dv

[]

[ "OPLSS2021.ParDiv.comm_monoid", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__r", "OPLSS2021.ParDiv.m", "OPLSS2021.ParDiv.Ret", "OPLSS2021.ParDiv.__proj__Mkcomm_monoid__item__star", "OPLSS2021.ParDiv.action", "OPLSS2021.ParDiv.__proj__Mkaction__item__post", "OPLSS2021.ParDiv.Act", "OPLSS2021.ParDiv.frame_action", "OPLSS2021.ParDiv.frame", "FStar.Universe.raise_t", "Prims.unit", "OPLSS2021.ParDiv.post", "OPLSS2021.ParDiv.Par" ]

[ "recursion" ]

false

true

false

let rec frame (#s: Type u#s) (#c: comm_monoid s) (#a: Type u#a) (#p: c.r) (#q: (a -> c.r)) (fr: c.r) (f: m a p q) : Dv (m a (p `c.star` fr) (fun x -> (q x) `c.star` fr)) =

match f with | Ret x -> Ret x | Act f k -> Act (frame_action f fr) (fun x -> frame fr (k x)) | Par pre0 post0 m0 pre1 post1 m1 k -> Par (pre0 `c.star` fr) (post0 `c.star` fr) (frame fr m0) pre1 post1 m1 (frame fr k)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Gf128MulRev128

val va_codegen_success_Gf128MulRev128 : va_dummy:unit -> Tot va_pbool

let va_codegen_success_Gf128MulRev128 () = (va_pbool_and (va_codegen_success_ReduceMulRev128 ()) (va_ttrue ()))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 70, "end_line": 1078, "start_col": 0, "start_line": 1077 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ())))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool

Prims.Tot

[ "total" ]

[]

[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_ReduceMulRev128", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]

[]

false

true

false

let va_codegen_success_Gf128MulRev128 () =

(va_pbool_and (va_codegen_success_ReduceMulRev128 ()) (va_ttrue ()))

false

Steel.Channel.Simplex.fst

Steel.Channel.Simplex.extend_trace

val extend_trace (#p:prot) (#next:prot) (c:chan p) (previous:partial_trace_of p) (hprevious:history c previous) : Steel (t:extension_of previous & history c t) (receiver c next) (fun t -> receiver c next) (requires fun _ -> True) (ensures fun _ t _ -> until (dfst t) == next)

let extend_trace (#q:prot) (#p:prot) (cc:chan q) (tr:partial_trace_of q) (htr:history cc tr) : Steel (tr':extension_of tr & history cc tr') (receiver cc p) (fun t -> receiver cc p) (requires fun _ -> True) (ensures fun _ t _ -> until (dfst t) == p) = let _ = send_receive_prelude cc in let tr' = extend_history cc htr in let _ = prot_equals cc in intro_chan_inv_auxT cc.chan_chan; Steel.SpinLock.release cc.chan_lock; tr'

{ "file_name": "lib/steel/Steel.Channel.Simplex.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }

{ "end_col": 7, "end_line": 493, "start_col": 0, "start_line": 479 }

(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Simplex module P = Steel.Channel.Protocol open Steel.SpinLock open Steel.Memory open Steel.Effect.Atomic open Steel.Effect open Steel.HigherReference open Steel.FractionalPermission module MRef = Steel.MonotonicHigherReference module H = Steel.HigherReference let sprot = p:prot { more p } noeq type chan_val = { chan_prot : sprot; chan_msg : msg_t chan_prot; chan_ctr : nat } let mref a p = MRef.ref a p let trace_ref (p:prot) = mref (partial_trace_of p) extended_to noeq type chan_t (p:prot) = { send: ref chan_val; recv: ref chan_val; trace: trace_ref p; } let half : perm = half_perm full_perm let step (s:sprot) (x:msg_t s) = step s x let chan_inv_step_p (vrecv vsend:chan_val) : prop = (vsend.chan_prot == step vrecv.chan_prot vrecv.chan_msg /\ vsend.chan_ctr == vrecv.chan_ctr + 1) let chan_inv_step (vrecv vsend:chan_val) : vprop = pure (chan_inv_step_p vrecv vsend) let chan_inv_cond (vsend:chan_val) (vrecv:chan_val) : vprop = if vsend.chan_ctr = vrecv.chan_ctr then pure (vsend == vrecv) else chan_inv_step vrecv vsend let trace_until_prop #p (r:trace_ref p) (vr:chan_val) (tr: partial_trace_of p) : vprop = MRef.pts_to r full_perm tr `star` pure (until tr == step vr.chan_prot vr.chan_msg) let trace_until #p (r:trace_ref p) (vr:chan_val) = h_exists (trace_until_prop r vr) let chan_inv_recv #p (c:chan_t p) (vsend:chan_val) = h_exists (fun (vrecv:chan_val) -> pts_to c.recv half vrecv `star` trace_until c.trace vrecv `star` chan_inv_cond vsend vrecv) let chan_inv #p (c:chan_t p) : vprop = h_exists (fun (vsend:chan_val) -> pts_to c.send half vsend `star` chan_inv_recv c vsend) let intro_chan_inv_cond_eqT (vs vr:chan_val) : Steel unit emp (fun _ -> chan_inv_cond vs vr) (requires fun _ -> vs == vr) (ensures fun _ _ _ -> True) = intro_pure (vs == vs); rewrite_slprop (chan_inv_cond vs vs) (chan_inv_cond vs vr) (fun _ -> ()) let intro_chan_inv_cond_stepT (vs vr:chan_val) : SteelT unit (chan_inv_step vr vs) (fun _ -> chan_inv_cond vs vr) = Steel.Utils.extract_pure (chan_inv_step_p vr vs); rewrite_slprop (chan_inv_step vr vs) (chan_inv_cond vs vr) (fun _ -> ()) let intro_chan_inv_auxT #p (#vs : chan_val) (#vr : chan_val) (c:chan_t p) : SteelT unit (pts_to c.send half vs `star` pts_to c.recv half vr `star` trace_until c.trace vr `star` chan_inv_cond vs vr) (fun _ -> chan_inv c) = intro_exists _ (fun (vr:chan_val) -> pts_to c.recv half vr `star` trace_until c.trace vr `star` chan_inv_cond vs vr); intro_exists _ (fun (vs:chan_val) -> pts_to c.send half vs `star` chan_inv_recv c vs) let intro_chan_inv_stepT #p (c:chan_t p) (vs vr:chan_val) : SteelT unit (pts_to c.send half vs `star` pts_to c.recv half vr `star` trace_until c.trace vr `star` chan_inv_step vr vs) (fun _ -> chan_inv c) = intro_chan_inv_cond_stepT vs vr; intro_chan_inv_auxT c let intro_chan_inv_eqT #p (c:chan_t p) (vs vr:chan_val) : Steel unit (pts_to c.send half vs `star` pts_to c.recv half vr `star` trace_until c.trace vr) (fun _ -> chan_inv c) (requires fun _ -> vs == vr) (ensures fun _ _ _ -> True) = intro_chan_inv_cond_eqT vs vr; intro_chan_inv_auxT c noeq type chan p = { chan_chan : chan_t p; chan_lock : lock (chan_inv chan_chan) } let in_state_prop (p:prot) (vsend:chan_val) : prop = p == step vsend.chan_prot vsend.chan_msg irreducible let next_chan_val (#p:sprot) (x:msg_t p) (vs0:chan_val { in_state_prop p vs0 }) : Tot (vs:chan_val{in_state_prop (step p x) vs /\ chan_inv_step_p vs0 vs}) = { chan_prot = (step vs0.chan_prot vs0.chan_msg); chan_msg = x; chan_ctr = vs0.chan_ctr + 1 } [@@__reduce__] let in_state_slprop (p:prot) (vsend:chan_val) : vprop = pure (in_state_prop p vsend) let in_state (r:ref chan_val) (p:prot) = h_exists (fun (vsend:chan_val) -> pts_to r half vsend `star` in_state_slprop p vsend) let sender #q (c:chan q) (p:prot) = in_state c.chan_chan.send p let receiver #q (c:chan q) (p:prot) = in_state c.chan_chan.recv p let intro_chan_inv #p (c:chan_t p) (v:chan_val) : SteelT unit (pts_to c.send half v `star` pts_to c.recv half v `star` trace_until c.trace v) (fun _ -> chan_inv c) = intro_chan_inv_eqT c v v let chan_val_p (p:prot) = (vs0:chan_val { in_state_prop p vs0 }) let intro_in_state (r:ref chan_val) (p:prot) (v:chan_val_p p) : SteelT unit (pts_to r half v) (fun _ -> in_state r p) = intro_pure (in_state_prop p v); intro_exists v (fun (v:chan_val) -> pts_to r half v `star` in_state_slprop p v) let msg t p = Msg Send unit (fun _ -> p) let init_chan_val (p:prot) = v:chan_val {v.chan_prot == msg unit p} let initial_trace (p:prot) : (q:partial_trace_of p {until q == p}) = { to = p; tr=Waiting p} let intro_trace_until #q (r:trace_ref q) (tr:partial_trace_of q) (v:chan_val) : Steel unit (MRef.pts_to r full_perm tr) (fun _ -> trace_until r v) (requires fun _ -> until tr == step v.chan_prot v.chan_msg) (ensures fun _ _ _ -> True) = intro_pure (until tr == step v.chan_prot v.chan_msg); intro_exists tr (fun (tr:partial_trace_of q) -> MRef.pts_to r full_perm tr `star` pure (until tr == (step v.chan_prot v.chan_msg))); () let chan_t_sr (p:prot) (send recv:ref chan_val) = (c:chan_t p{c.send == send /\ c.recv == recv}) let intro_trace_until_init #p (c:chan_t p) (v:init_chan_val p) : SteelT unit (MRef.pts_to c.trace full_perm (initial_trace p)) (fun _ -> trace_until c.trace v) = intro_pure (until (initial_trace p) == step v.chan_prot v.chan_msg); //TODO: Not sure why I need this rewrite rewrite_slprop (MRef.pts_to c.trace full_perm (initial_trace p) `star` pure (until (initial_trace p) == step v.chan_prot v.chan_msg)) (MRef.pts_to c.trace full_perm (initial_trace p) `star` pure (until (initial_trace p) == step v.chan_prot v.chan_msg)) (fun _ -> ()); intro_exists (initial_trace p) (trace_until_prop c.trace v) let mk_chan (#p:prot) (send recv:ref chan_val) (v:init_chan_val p) : SteelT (chan_t_sr p send recv) (pts_to send half v `star` pts_to recv half v) (fun c -> chan_inv c) = let tr: trace_ref p = MRef.alloc (extended_to #p) (initial_trace p) in let c = Mkchan_t send recv tr in rewrite_slprop (MRef.pts_to tr full_perm (initial_trace p)) (MRef.pts_to c.trace full_perm (initial_trace p)) (fun _ -> ()); intro_trace_until_init c v; rewrite_slprop (pts_to send half v `star` pts_to recv half v) (pts_to c.send half v `star` pts_to c.recv half v) (fun _ -> ()); intro_chan_inv #p c v; let c' : chan_t_sr p send recv = c in rewrite_slprop (chan_inv c) (chan_inv c') (fun _ -> ()); return c' let new_chan (p:prot) : SteelT (chan p) emp (fun c -> sender c p `star` receiver c p) = let q = msg unit p in let v : chan_val = { chan_prot = q; chan_msg = (); chan_ctr = 0 } in let vp : init_chan_val p = v in let send = H.alloc v in let recv = H.alloc v in H.share recv; H.share send; (* TODO: use smt_fallback *) rewrite_slprop (pts_to send (half_perm full_perm) v `star` pts_to send (half_perm full_perm) v `star` pts_to recv (half_perm full_perm) v `star` pts_to recv (half_perm full_perm) v) (pts_to send half vp `star` pts_to send half vp `star` pts_to recv half vp `star` pts_to recv half vp) (fun _ -> ()); let c = mk_chan send recv vp in intro_in_state send p vp; intro_in_state recv p vp; let l = Steel.SpinLock.new_lock (chan_inv c) in let ch = { chan_chan = c; chan_lock = l } in rewrite_slprop (in_state send p) (sender ch p) (fun _ -> ()); rewrite_slprop (in_state recv p) (receiver ch p) (fun _ -> ()); return ch [@@__reduce__] let send_recv_in_sync (r:ref chan_val) (p:prot{more p}) #q (c:chan_t q) (vs vr:chan_val) : vprop = (pts_to c.send half vs `star` pts_to c.recv half vr `star` trace_until c.trace vr `star` pure (vs == vr) `star` in_state r p) [@@__reduce__] let sender_ahead (r:ref chan_val) (p:prot{more p}) #q (c:chan_t q) (vs vr:chan_val) : vprop = (pts_to c.send half vs `star` pts_to c.recv half vr `star` trace_until c.trace vr `star` chan_inv_step vr vs `star` in_state r p) let update_channel (#p:sprot) #q (c:chan_t q) (x:msg_t p) (vs:chan_val) (r:ref chan_val) : SteelT chan_val (pts_to r full_perm vs `star` in_state_slprop p vs) (fun vs' -> pts_to r full_perm vs' `star` (in_state_slprop (step p x) vs' `star` chan_inv_step vs vs')) = elim_pure (in_state_prop p vs); let vs' = next_chan_val x vs in H.write r vs'; intro_pure (in_state_prop (step p x) vs'); intro_pure (chan_inv_step_p vs vs'); return vs' [@@__reduce__] let send_pre_available (p:sprot) #q (c:chan_t q) (vs vr:chan_val) = send_recv_in_sync c.send p c vs vr let gather_r (#p:sprot) (r:ref chan_val) (v:chan_val) : SteelT unit (pts_to r half v `star` in_state r p) (fun _ -> pts_to r full_perm v `star` in_state_slprop p v) = let v' = witness_exists () in H.higher_ref_pts_to_injective_eq #_ #_ #_ #_ #v #_ r; H.gather #_ #_ #half #half #v #v r; rewrite_slprop (pts_to r (sum_perm half half) v) (pts_to r full_perm v) (fun _ -> ()); rewrite_slprop (in_state_slprop p v') (in_state_slprop p v) (fun _ -> ()) let send_available (#p:sprot) #q (cc:chan q) (x:msg_t p) (vs vr:chan_val) (_:unit) : SteelT unit (send_pre_available p #q cc.chan_chan vs vr) (fun _ -> sender cc (step p x)) = Steel.Utils.extract_pure (vs == vr); Steel.Utils.rewrite #_ #(send_recv_in_sync cc.chan_chan.send p cc.chan_chan vs) vr vs; elim_pure (vs == vs); gather_r cc.chan_chan.send vs; let next_vs = update_channel cc.chan_chan x vs cc.chan_chan.send in H.share cc.chan_chan.send; intro_exists next_vs (fun (next_vs:chan_val) -> pts_to cc.chan_chan.send half next_vs `star` in_state_slprop (step p x) next_vs); intro_chan_inv_stepT cc.chan_chan next_vs vs; Steel.SpinLock.release cc.chan_lock let extensible (#p:prot) (x:partial_trace_of p) = P.more x.to let next_msg_t (#p:prot) (x:partial_trace_of p) = P.next_msg_t x.to let next_trace #p (vr:chan_val) (vs:chan_val) (tr:partial_trace_of p) (s:squash (until tr == step vr.chan_prot vr.chan_msg)) (_:squash (chan_inv_step_p vr vs)) : (ts:partial_trace_of p { until ts == step vs.chan_prot vs.chan_msg }) = let msg : next_msg_t tr = vs.chan_msg in assert (extensible tr); extend_partial_trace tr msg let next_trace_st #p (vr:chan_val) (vs:chan_val) (tr:partial_trace_of p) : Steel (extension_of tr) (chan_inv_step vr vs) (fun _ -> emp) (requires fun _ -> until tr == step vr.chan_prot vr.chan_msg) (ensures fun _ ts _ -> until ts == step vs.chan_prot vs.chan_msg) = elim_pure (chan_inv_step_p vr vs); let ts : extension_of tr = next_trace vr vs tr () () in return ts let update_trace #p (r:trace_ref p) (vr:chan_val) (vs:chan_val) : Steel unit (trace_until r vr) (fun _ -> trace_until r vs) (requires fun _ -> chan_inv_step_p vr vs) (ensures fun _ _ _ -> True) = intro_pure (chan_inv_step_p vr vs); let tr = MRef.read_refine r in elim_pure (until tr == step vr.chan_prot vr.chan_msg); let ts : extension_of tr = next_trace_st vr vs tr in MRef.write r ts; intro_pure (until ts == step vs.chan_prot vs.chan_msg); intro_exists ts (fun (ts:partial_trace_of p) -> MRef.pts_to r full_perm ts `star` pure (until ts == step vs.chan_prot vs.chan_msg)) let recv_availableT (#p:sprot) #q (cc:chan q) (vs vr:chan_val) (_:unit) : SteelT (msg_t p) (sender_ahead cc.chan_chan.recv p cc.chan_chan vs vr) (fun x -> receiver cc (step p x)) = elim_pure (chan_inv_step_p vr vs); gather_r cc.chan_chan.recv vr; elim_pure (in_state_prop p vr); H.write cc.chan_chan.recv vs; H.share cc.chan_chan.recv; assert (vs.chan_prot == p); let vs_msg : msg_t p = vs.chan_msg in intro_pure (in_state_prop (step p vs_msg) vs); intro_exists vs (fun (vs:chan_val) -> pts_to cc.chan_chan.recv half vs `star` in_state_slprop (step p vs_msg) vs); update_trace cc.chan_chan.trace vr vs; intro_chan_inv cc.chan_chan vs; Steel.SpinLock.release cc.chan_lock; vs_msg #push-options "--ide_id_info_off" let send_receive_prelude (#p:prot) (cc:chan p) : SteelT (chan_val & chan_val) emp (fun v -> pts_to cc.chan_chan.send half (fst v) `star` pts_to cc.chan_chan.recv half (snd v) `star` trace_until cc.chan_chan.trace (snd v) `star` chan_inv_cond (fst v) (snd v)) = let c = cc.chan_chan in Steel.SpinLock.acquire cc.chan_lock; let vs = read_refine (chan_inv_recv cc.chan_chan) cc.chan_chan.send in let _ = witness_exists () in let vr = H.read cc.chan_chan.recv in rewrite_slprop (trace_until _ _ `star` chan_inv_cond _ _) (trace_until cc.chan_chan.trace vr `star` chan_inv_cond vs vr) (fun _ -> ()); return (vs, vr) let rec send (#p:prot) (c:chan p) (#next:prot{more next}) (x:msg_t next) : SteelT unit (sender c next) (fun _ -> sender c (step next x)) = let v = send_receive_prelude c in //matching v as vs,vr fails if (fst v).chan_ctr = (snd v).chan_ctr then ( rewrite_slprop (chan_inv_cond (fst v) (snd v)) (pure (fst v == snd v)) (fun _ -> ()); send_available c x (fst v) (snd v) () //TODO: inlining send_availableT here fails ) else ( rewrite_slprop (chan_inv_cond (fst v) (snd v)) (chan_inv_step (snd v) (fst v)) (fun _ -> ()); intro_chan_inv_stepT c.chan_chan (fst v) (snd v); Steel.SpinLock.release c.chan_lock; send c x ) let rec recv (#p:prot) (#next:prot{more next}) (c:chan p) : SteelT (msg_t next) (receiver c next) (fun x -> receiver c (step next x)) = let v = send_receive_prelude c in if (fst v).chan_ctr = (snd v).chan_ctr then ( rewrite_slprop (chan_inv_cond (fst v) (snd v)) (pure (fst v == snd v)) (fun _ -> ()); elim_pure (fst v == snd v); intro_chan_inv_eqT c.chan_chan (fst v) (snd v); Steel.SpinLock.release c.chan_lock; recv c ) else ( rewrite_slprop (chan_inv_cond (fst v) (snd v)) (chan_inv_step (snd v) (fst v)) (fun _ -> ()); recv_availableT c (fst v) (snd v) () ) let history_p' (#p:prot) (t:partial_trace_of p) (s:partial_trace_of p) : prop = t `extended_to` s /\ True let history_p (#p:prot) (t:partial_trace_of p) : MRef.stable_property extended_to = history_p' t let history (#p:prot) (c:chan p) (t:partial_trace_of p) : Type0 = MRef.witnessed c.chan_chan.trace (history_p t) let recall_trace_ref #q (r:trace_ref q) (tr tr':partial_trace_of q) (tok:MRef.witnessed r (history_p tr)) : Steel unit (MRef.pts_to r full_perm tr') (fun _ -> MRef.pts_to r full_perm tr') (requires fun _ -> True) (ensures fun _ _ _ -> history_p tr tr') = MRef.recall (history_p tr) r tr' tok let prot_equals #q (#p:_) (#vr:chan_val) (cc:chan q) : Steel unit (pts_to cc.chan_chan.recv half vr `star` receiver cc p) (fun _ -> pts_to cc.chan_chan.recv half vr `star` receiver cc p) (requires fun _ -> True) (ensures fun _ _ _ -> step vr.chan_prot vr.chan_msg == p) = let vr' = witness_exists () in H.higher_ref_pts_to_injective_eq #_ #_ #_ #_ #vr #_ cc.chan_chan.recv; rewrite_slprop (in_state_slprop _ _) (in_state_slprop p vr) (fun _ -> ()); elim_pure _; intro_in_state _ _ vr let witness_trace_until #q (#vr:chan_val) (r:trace_ref q) : SteelT (tr:partial_trace_of q & MRef.witnessed r (history_p tr)) (trace_until r vr) (fun _ -> trace_until r vr) = let tr = MRef.read_refine r in let tok = MRef.witness r (history_p tr) tr () in elim_pure (until tr == step vr.chan_prot vr.chan_msg); intro_trace_until r tr vr; (| tr, tok |) let trace #q (cc:chan q) : SteelT (tr:partial_trace_of q & history cc tr) emp (fun _ -> emp) = let _ = send_receive_prelude cc in let tr = witness_trace_until cc.chan_chan.trace in intro_chan_inv_auxT cc.chan_chan; Steel.SpinLock.release cc.chan_lock; tr let extend_history #q (#tr:partial_trace_of q) (#v:chan_val) (c:chan q) (tok:history c tr) : Steel (tr':extension_of tr & history c tr') (pts_to c.chan_chan.recv half v `star` trace_until c.chan_chan.trace v) (fun _ -> pts_to c.chan_chan.recv half v `star` trace_until c.chan_chan.trace v) (requires fun _ -> True) (ensures fun _ tr' _ -> until (dfst tr') == step v.chan_prot v.chan_msg) = let tr' = MRef.read_refine c.chan_chan.trace in let _ = recall_trace_ref c.chan_chan.trace tr tr' tok in let tok' = MRef.witness c.chan_chan.trace (history_p tr') tr' () in elim_pure (until tr' == step v.chan_prot v.chan_msg); intro_trace_until c.chan_chan.trace tr' v; let tr'' : extension_of tr = tr' in (| tr'', tok' |)

{ "checked_file": "/", "dependencies": [ "Steel.Utils.fst.checked", "Steel.SpinLock.fsti.checked", "Steel.MonotonicHigherReference.fsti.checked", "Steel.Memory.fsti.checked", "Steel.HigherReference.fsti.checked", "Steel.FractionalPermission.fst.checked", "Steel.Effect.Atomic.fsti.checked", "Steel.Effect.fsti.checked", "Steel.Channel.Protocol.fst.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Steel.Channel.Simplex.fst" }

[ { "abbrev": true, "full_module": "Steel.HigherReference", "short_module": "H" }, { "abbrev": true, "full_module": "Steel.MonotonicHigherReference", "short_module": "MRef" }, { "abbrev": false, "full_module": "Steel.FractionalPermission", "short_module": null }, { "abbrev": false, "full_module": "Steel.HigherReference", "short_module": null }, { "abbrev": false, "full_module": "Steel.Effect.Atomic", "short_module": null }, { "abbrev": false, "full_module": "Steel.SpinLock", "short_module": null }, { "abbrev": true, "full_module": "Steel.Channel.Protocol", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Effect", "short_module": null }, { "abbrev": false, "full_module": "Steel.Memory", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel.Protocol", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

c: Steel.Channel.Simplex.chan p -> previous: Steel.Channel.Protocol.partial_trace_of p -> hprevious: Steel.Channel.Simplex.history c previous -> Steel.Effect.Steel (Prims.dtuple2 (Steel.Channel.Protocol.extension_of previous) (fun t -> Steel.Channel.Simplex.history c t))

Steel.Effect.Steel

[]

[ "Steel.Channel.Simplex.prot", "Steel.Channel.Simplex.chan", "Steel.Channel.Protocol.partial_trace_of", "Steel.Channel.Simplex.history", "Prims.dtuple2", "Steel.Channel.Protocol.extension_of", "Prims.unit", "Steel.SpinLock.release", "Steel.Channel.Simplex.chan_inv", "Steel.Channel.Simplex.__proj__Mkchan__item__chan_chan", "Steel.Channel.Simplex.__proj__Mkchan__item__chan_lock", "Steel.Channel.Simplex.intro_chan_inv_auxT", "Steel.Channel.Simplex.chan_val", "Steel.Channel.Simplex.prot_equals", "Steel.Channel.Simplex.extend_history", "FStar.Pervasives.Native.tuple2", "Steel.Channel.Simplex.send_receive_prelude", "Steel.Channel.Simplex.receiver", "Steel.Effect.Common.vprop", "Steel.Effect.Common.rmem", "Prims.l_True", "Prims.eq2", "Steel.Channel.Protocol.protocol", "Steel.Channel.Protocol.until", "FStar.Pervasives.dfst" ]

[]

false

true

false

let extend_trace (#q #p: prot) (cc: chan q) (tr: partial_trace_of q) (htr: history cc tr) : Steel (tr': extension_of tr & history cc tr') (receiver cc p) (fun t -> receiver cc p) (requires fun _ -> True) (ensures fun _ t _ -> until (dfst t) == p) =

let _ = send_receive_prelude cc in let tr' = extend_history cc htr in let _ = prot_equals cc in intro_chan_inv_auxT cc.chan_chan; Steel.SpinLock.release cc.chan_lock; tr'

false

InlineSingletonRecords.fst

InlineSingletonRecords.choose_one

val choose_one (a b: option 'a) : ML (option 'a)

let choose_one (a b:option 'a) : ML (option 'a) = match a, b with | Some fc, _ | _, Some fc -> Some fc | _ -> None

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 13, "end_line": 37, "start_col": 0, "start_line": 33 }

(* 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 *)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: FStar.Pervasives.Native.option 'a -> b: FStar.Pervasives.Native.option 'a -> FStar.All.ML (FStar.Pervasives.Native.option 'a)

FStar.All.ML

[ "ml" ]

[]

[ "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.Some", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.None" ]

[]

false

true

false

let choose_one (a b: option 'a) : ML (option 'a) =

match a, b with | Some fc, _ | _, Some fc -> Some fc | _ -> None

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_quick_Clmul128

val va_quick_Clmul128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_Clmul128 ()))

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))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 84, "end_line": 747, "start_col": 0, "start_line": 745 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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 ())

Prims.Tot

[ "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" ]

[]

false

let va_quick_Clmul128 (ab 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))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Clmul128

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 742, "start_col": 0, "start_line": 733 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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))

Prims.Ghost

[]

[ "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" ]

[]

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)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_quick_ClmulRev128

val va_quick_ClmulRev128 (ab cd: poly) : (va_quickCode (poly & poly) (va_code_ClmulRev128 ()))

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))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 11, "end_line": 868, "start_col": 0, "start_line": 864 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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 ())

Prims.Tot

[ "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" ]

[]

false

let va_quick_ClmulRev128 (ab 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))

false

FStar.Sequence.Permutation.fsti

FStar.Sequence.Permutation.index_fun

val index_fun : s: FStar.Sequence.Base.seq a -> Type0

let index_fun #a (s:seq a) = nat_at_most (S.length s) -> nat_at_most (S.length s)

{ "file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 81, "end_line": 40, "start_col": 0, "start_line": 40 }

(* 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 }

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

s: FStar.Sequence.Base.seq a -> Type0

Prims.Tot

[ "total" ]

[]

[ "FStar.Sequence.Base.seq", "FStar.Sequence.Permutation.nat_at_most", "FStar.Sequence.Base.length" ]

[]

false

true

let index_fun #a (s: seq a) =

nat_at_most (S.length s) -> nat_at_most (S.length s)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_Clmul128

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 = 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 24, "end_line": 708, "start_col": 0, "start_line": 685 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)))))))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

false

FStar.Sequence.Permutation.fsti

FStar.Sequence.Permutation.nat_at_most

val nat_at_most : n: Prims.nat -> Type0

let nat_at_most (n:nat) = m:nat { m < n }

{ "file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 41, "end_line": 37, "start_col": 0, "start_line": 37 }

(* 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 *)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

n: Prims.nat -> Type0

Prims.Tot

[ "total" ]

[]

[ "Prims.nat", "Prims.b2t", "Prims.op_LessThan" ]

[]

false

true

let nat_at_most (n: nat) =

m: nat{m < n}

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_ClmulRev128

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 861, "start_col": 0, "start_line": 852 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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))

Prims.Ghost

[]

[ "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" ]

[]

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)

false

FStar.Sequence.Permutation.fsti

FStar.Sequence.Permutation.seqperm

val seqperm : s0: FStar.Sequence.Base.seq a -> s1: FStar.Sequence.Base.seq a -> Type0

let seqperm (#a:Type) (s0:seq a) (s1:seq a) = f:index_fun s0 { is_permutation s0 s1 f }

{ "file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 43, "end_line": 59, "start_col": 0, "start_line": 58 }

(* 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)))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

s0: FStar.Sequence.Base.seq a -> s1: FStar.Sequence.Base.seq a -> Type0

Prims.Tot

[ "total" ]

[]

[ "FStar.Sequence.Base.seq", "FStar.Sequence.Permutation.index_fun", "FStar.Sequence.Permutation.is_permutation" ]

[]

false

true

let seqperm (#a: Type) (s0 s1: seq a) =

f: index_fun s0 {is_permutation s0 s1 f}

false

FStar.Sequence.Permutation.fsti

FStar.Sequence.Permutation.foldm_back

val foldm_back : m: FStar.Algebra.CommMonoid.cm a -> s: FStar.Sequence.Base.seq a -> a

let foldm_back (#a:Type) (m:CM.cm a) (s:seq a) = fold_back m.mult s m.unit

{ "file_name": "ulib/experimental/FStar.Sequence.Permutation.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 74, "end_line": 73, "start_col": 0, "start_line": 73 }

(* 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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

m: FStar.Algebra.CommMonoid.cm a -> s: FStar.Sequence.Base.seq a -> a

Prims.Tot

[ "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" ]

[]

false

true

false

let foldm_back (#a: Type) (m: CM.cm a) (s: seq a) =

fold_back m.mult s m.unit

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_quick_Gf128ModulusRev

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)) = (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))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 65, "end_line": 959, "start_col": 0, "start_line": 956 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

dst: Vale.PPC64LE.Decls.va_operand_vec_opr -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GF128_Mul.va_code_Gf128ModulusRev dst)

Prims.Tot

[ "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" ]

[]

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))

false

Spec.Curve25519.Test.fst

Spec.Curve25519.Test.scalar1

val scalar1:lbytes 32

let scalar1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xa5uy; 0x46uy; 0xe3uy; 0x6buy; 0xf0uy; 0x52uy; 0x7cuy; 0x9duy; 0x3buy; 0x16uy; 0x15uy; 0x4buy; 0x82uy; 0x46uy; 0x5euy; 0xdduy; 0x62uy; 0x14uy; 0x4cuy; 0x0auy; 0xc1uy; 0xfcuy; 0x5auy; 0x18uy; 0x50uy; 0x6auy; 0x22uy; 0x44uy; 0xbauy; 0x44uy; 0x9auy; 0xc4uy ] in assert_norm (List.Tot.length l == 32); of_list l

{ "file_name": "specs/tests/Spec.Curve25519.Test.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 11, "end_line": 24, "start_col": 0, "start_line": 16 }

module Spec.Curve25519.Test open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Curve25519 module PS = Lib.PrintSequence #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* ********************* *) (* RFC 7748 Test Vectors *) (* ********************* *)

{ "checked_file": "/", "dependencies": [ "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.RawIntTypes.fsti.checked", "Lib.PrintSequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Curve25519.Test.fst" }

[ { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.RawIntTypes", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 32

Prims.Tot

[ "total" ]

[]

[ "Lib.Sequence.of_list", "Lib.IntTypes.int_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.int", "FStar.List.Tot.Base.length", "Prims.list", "FStar.List.Tot.Base.map", "FStar.UInt8.t", "Lib.RawIntTypes.u8_from_UInt8", "Prims.Cons", "FStar.UInt8.__uint_to_t", "Prims.Nil" ]

[]

false

let scalar1:lbytes 32 =

let l = List.Tot.map u8_from_UInt8 [ 0xa5uy; 0x46uy; 0xe3uy; 0x6buy; 0xf0uy; 0x52uy; 0x7cuy; 0x9duy; 0x3buy; 0x16uy; 0x15uy; 0x4buy; 0x82uy; 0x46uy; 0x5euy; 0xdduy; 0x62uy; 0x14uy; 0x4cuy; 0x0auy; 0xc1uy; 0xfcuy; 0x5auy; 0x18uy; 0x50uy; 0x6auy; 0x22uy; 0x44uy; 0xbauy; 0x44uy; 0x9auy; 0xc4uy ] in assert_norm (List.Tot.length l == 32); of_list l

false

InlineSingletonRecords.fst

InlineSingletonRecords.env

val env : Type0

let env = H.t ident' singleton_record

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 37, "end_line": 21, "start_col": 0, "start_line": 21 }

(* 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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

Type0

Prims.Tot

[ "total" ]

[]

[ "Hashtable.t", "Ast.ident'", "InlineSingletonRecords.singleton_record" ]

[]

false

true

let env =

H.t ident' singleton_record

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_wpProof_Gf128ModulusRev

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 = 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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 22, "end_line": 953, "start_col": 0, "start_line": 946 }

module Vale.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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

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)

Prims.Ghost

[]

[ "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" ]

[]

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)

false

DM4F.fst

DM4F.st_monotonic

val st_monotonic (#st #a: _) (w: wp0 st a) : Type0

let st_monotonic #st #a (w : wp0 st a) : Type0 = //forall s0 p1 p2. (forall r. p1 r ==> p2 r) ==> w s0 p1 ==> w s0 p2 // ^ this version seems to be less SMT-friendly forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2

{ "file_name": "examples/layeredeffects/DM4F.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 83, "end_line": 15, "start_col": 0, "start_line": 12 }

module DM4F open FStar.Monotonic.Pure #set-options "--print_universes" (* Simulating state effect in DM4F, hopefully doable by a tactic. *) type wp0 (st:Type u#0) (a:Type u#ua) : Type u#(max 1 ua) = st -> (a & st -> Type0) -> Type0

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked" ], "interface_file": false, "source_file": "DM4F.fst" }

[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

w: DM4F.wp0 st a -> Type0

Prims.Tot

[ "total" ]

[]

[ "DM4F.wp0", "Prims.l_Forall", "FStar.Pervasives.Native.tuple2", "Prims.logical", "Prims.l_imp", "FStar.Pervasives.Native.Mktuple2" ]

[]

false

true

let st_monotonic #st #a (w: wp0 st a) : Type0 =

forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2

false

Spec.Curve25519.Test.fst

Spec.Curve25519.Test.test_scalarmult

val test_scalarmult: scalar:lbytes 32 -> point:lbytes 32 -> expected:lbytes 32 -> FStar.All.ML bool

let test_scalarmult scalar point expected = let computed = scalarmult scalar point in PS.print_compare true 32 expected computed

{ "file_name": "specs/tests/Spec.Curve25519.Test.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 44, "end_line": 90, "start_col": 0, "start_line": 88 }

module Spec.Curve25519.Test open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Curve25519 module PS = Lib.PrintSequence #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* ********************* *) (* RFC 7748 Test Vectors *) (* ********************* *) let scalar1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xa5uy; 0x46uy; 0xe3uy; 0x6buy; 0xf0uy; 0x52uy; 0x7cuy; 0x9duy; 0x3buy; 0x16uy; 0x15uy; 0x4buy; 0x82uy; 0x46uy; 0x5euy; 0xdduy; 0x62uy; 0x14uy; 0x4cuy; 0x0auy; 0xc1uy; 0xfcuy; 0x5auy; 0x18uy; 0x50uy; 0x6auy; 0x22uy; 0x44uy; 0xbauy; 0x44uy; 0x9auy; 0xc4uy ] in assert_norm (List.Tot.length l == 32); of_list l let scalar2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x4buy; 0x66uy; 0xe9uy; 0xd4uy; 0xd1uy; 0xb4uy; 0x67uy; 0x3cuy; 0x5auy; 0xd2uy; 0x26uy; 0x91uy; 0x95uy; 0x7duy; 0x6auy; 0xf5uy; 0xc1uy; 0x1buy; 0x64uy; 0x21uy; 0xe0uy; 0xeauy; 0x01uy; 0xd4uy; 0x2cuy; 0xa4uy; 0x16uy; 0x9euy; 0x79uy; 0x18uy; 0xbauy; 0x0duy ] in assert_norm (List.Tot.length l == 32); of_list l let point1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xe6uy; 0xdbuy; 0x68uy; 0x67uy; 0x58uy; 0x30uy; 0x30uy; 0xdbuy; 0x35uy; 0x94uy; 0xc1uy; 0xa4uy; 0x24uy; 0xb1uy; 0x5fuy; 0x7cuy; 0x72uy; 0x66uy; 0x24uy; 0xecuy; 0x26uy; 0xb3uy; 0x35uy; 0x3buy; 0x10uy; 0xa9uy; 0x03uy; 0xa6uy; 0xd0uy; 0xabuy; 0x1cuy; 0x4cuy ] in assert_norm (List.Tot.length l == 32); of_list l let point2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xe5uy; 0x21uy; 0x0fuy; 0x12uy; 0x78uy; 0x68uy; 0x11uy; 0xd3uy; 0xf4uy; 0xb7uy; 0x95uy; 0x9duy; 0x05uy; 0x38uy; 0xaeuy; 0x2cuy; 0x31uy; 0xdbuy; 0xe7uy; 0x10uy; 0x6fuy; 0xc0uy; 0x3cuy; 0x3euy; 0xfcuy; 0x4cuy; 0xd5uy; 0x49uy; 0xc7uy; 0x15uy; 0xa4uy; 0x93uy ] in assert_norm (List.Tot.length l == 32); of_list l let expected1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xc3uy; 0xdauy; 0x55uy; 0x37uy; 0x9duy; 0xe9uy; 0xc6uy; 0x90uy; 0x8euy; 0x94uy; 0xeauy; 0x4duy; 0xf2uy; 0x8duy; 0x08uy; 0x4fuy; 0x32uy; 0xecuy; 0xcfuy; 0x03uy; 0x49uy; 0x1cuy; 0x71uy; 0xf7uy; 0x54uy; 0xb4uy; 0x07uy; 0x55uy; 0x77uy; 0xa2uy; 0x85uy; 0x52uy ] in assert_norm (List.Tot.length l == 32); of_list l let expected2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x95uy; 0xcbuy; 0xdeuy; 0x94uy; 0x76uy; 0xe8uy; 0x90uy; 0x7duy; 0x7auy; 0xaduy; 0xe4uy; 0x5cuy; 0xb4uy; 0xb8uy; 0x73uy; 0xf8uy; 0x8buy; 0x59uy; 0x5auy; 0x68uy; 0x79uy; 0x9fuy; 0xa1uy; 0x52uy; 0xe6uy; 0xf8uy; 0xf7uy; 0x64uy; 0x7auy; 0xacuy; 0x79uy; 0x57uy ] in assert_norm (List.Tot.length l == 32); of_list l val test_scalarmult: scalar:lbytes 32 -> point:lbytes 32 -> expected:lbytes 32 -> FStar.All.ML bool

{ "checked_file": "/", "dependencies": [ "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.RawIntTypes.fsti.checked", "Lib.PrintSequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Curve25519.Test.fst" }

[ { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.RawIntTypes", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

scalar: Lib.ByteSequence.lbytes 32 -> point: Lib.ByteSequence.lbytes 32 -> expected: Lib.ByteSequence.lbytes 32 -> FStar.All.ML Prims.bool

FStar.All.ML

[ "ml" ]

[]

[ "Lib.ByteSequence.lbytes", "Lib.PrintSequence.print_compare", "Prims.bool", "Spec.Curve25519.serialized_point", "Spec.Curve25519.scalarmult" ]

[]

false

true

false

let test_scalarmult scalar point expected =

let computed = scalarmult scalar point in PS.print_compare true 32 expected computed

false

InlineSingletonRecords.fst

InlineSingletonRecords.simplify_field

val simplify_field (env: env) (f: field) : ML 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

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 12, "end_line": 129, "start_col": 0, "start_line": 113 }

(* 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 _ -> ( if Some? field.field_probe then field else 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 }

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

env: InlineSingletonRecords.env -> f: Ast.field -> FStar.All.ML Ast.field

FStar.All.ML

[ "ml" ]

[ "simplify_field", "simplify_switch_case" ]

[ "InlineSingletonRecords.env", "Ast.field", "Ast.__proj__Mkwith_meta_t__item__v", "Ast.field'", "Ast.with_meta_t", "Ast.atomic_field'", "Ast.Mkwith_meta_t", "Ast.__proj__Mkwith_meta_t__item__range", "Ast.__proj__Mkwith_meta_t__item__comments", "Ast.AtomicField", "InlineSingletonRecords.simplify_atomic_field", "Ast.atomic_field", "Prims.list", "Ast.ident", "Ast.RecordField", "FStar.List.map", "InlineSingletonRecords.simplify_field", "FStar.Pervasives.Native.tuple2", "Ast.expr", "Ast.case", "Ast.SwitchCaseField", "InlineSingletonRecords.simplify_switch_case", "Ast.switch_case" ]

[ "mutual recursion" ]

false

true

false

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 }

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_qcode_ClmulRev128

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: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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 32, "end_line": 785, "start_col": 0, "start_line": 763 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ())))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_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 ())

Prims.Tot

[ "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" ]

[]

false

let va_qcode_ClmulRev128 (va_mods: va_mods_t) (ab 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)))))))))

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_lemma_ClmulRev128

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 = 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 24, "end_line": 826, "start_col": 0, "start_line": 803 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))))))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_b0: Vale.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)

Prims.Ghost

[]

[ "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" ]

[]

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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)

false

DM4F.fst

DM4F.stronger

val stronger (#a: Type) (#st: Type0) (w1 w2: wp st a) : Type0

let stronger (#a:Type) (#st:Type0) (w1 w2 : wp st a) : Type0 = forall s0 p. w1 s0 p ==> w2 s0 p

{ "file_name": "examples/layeredeffects/DM4F.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 36, "end_line": 60, "start_col": 0, "start_line": 56 }

module DM4F open FStar.Monotonic.Pure #set-options "--print_universes" (* Simulating state effect in DM4F, hopefully doable by a tactic. *) type wp0 (st:Type u#0) (a:Type u#ua) : Type u#(max 1 ua) = st -> (a & st -> Type0) -> Type0 let st_monotonic #st #a (w : wp0 st a) : Type0 = //forall s0 p1 p2. (forall r. p1 r ==> p2 r) ==> w s0 p1 ==> w s0 p2 // ^ this version seems to be less SMT-friendly forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2 type wp st a = w:(wp0 st a){st_monotonic w} type repr (a:Type u#ua) (st:Type0) (wp : wp u#ua st a) : Type u#ua = s0:st -> PURE (a & st) (as_pure_wp (wp s0)) unfold let return_wp (#a:Type) (#st:Type0) (x:a) : wp st a = fun s0 p -> p (x, s0) let return (a:Type) (x:a) (st:Type0) : repr a st (return_wp x) = fun s0 -> (x, s0) unfold let bind_wp (#a #b:Type) (#st:Type0) (wp_c:wp st a) (wp_f:a -> wp st b) : wp st b = fun s0 p -> wp_c s0 (fun (y, s1) -> wp_f y s1 p) let bind (a:Type) (b:Type) (st:Type0) (wp_c : wp st a) (wp_f : a -> wp st b) (c : repr a st wp_c) (f : (x:a -> repr b st (wp_f x))) : repr b st (bind_wp wp_c wp_f) = fun s0 -> let (y, s1) = c s0 in f y s1 unfold let ite_wp (#a:Type) (#st:Type0) (wpf wpg:wp st a) (b:bool) : wp st a = fun s0 p -> (b ==> wpf s0 p) /\ ((~b) ==> wpg s0 p) let if_then_else (a:Type) (st:Type0) (wpf wpg : wp st a) (f : repr a st wpf) (g : repr a st wpg) (b : bool) : Type = repr a st (ite_wp wpf wpg b)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked" ], "interface_file": false, "source_file": "DM4F.fst" }

[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

w1: DM4F.wp st a -> w2: DM4F.wp st a -> Type0

Prims.Tot

[ "total" ]

[]

[ "DM4F.wp", "Prims.l_Forall", "FStar.Pervasives.Native.tuple2", "Prims.l_imp" ]

[]

false

true

let stronger (#a: Type) (#st: Type0) (w1 w2: wp st a) : Type0 =

forall s0 p. w1 s0 p ==> w2 s0 p

false

Spec.Curve25519.Test.fst

Spec.Curve25519.Test.expected2

val expected2:lbytes 32

let expected2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x95uy; 0xcbuy; 0xdeuy; 0x94uy; 0x76uy; 0xe8uy; 0x90uy; 0x7duy; 0x7auy; 0xaduy; 0xe4uy; 0x5cuy; 0xb4uy; 0xb8uy; 0x73uy; 0xf8uy; 0x8buy; 0x59uy; 0x5auy; 0x68uy; 0x79uy; 0x9fuy; 0xa1uy; 0x52uy; 0xe6uy; 0xf8uy; 0xf7uy; 0x64uy; 0x7auy; 0xacuy; 0x79uy; 0x57uy ] in assert_norm (List.Tot.length l == 32); of_list l

{ "file_name": "specs/tests/Spec.Curve25519.Test.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 11, "end_line": 79, "start_col": 0, "start_line": 71 }

module Spec.Curve25519.Test open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Curve25519 module PS = Lib.PrintSequence #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* ********************* *) (* RFC 7748 Test Vectors *) (* ********************* *) let scalar1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xa5uy; 0x46uy; 0xe3uy; 0x6buy; 0xf0uy; 0x52uy; 0x7cuy; 0x9duy; 0x3buy; 0x16uy; 0x15uy; 0x4buy; 0x82uy; 0x46uy; 0x5euy; 0xdduy; 0x62uy; 0x14uy; 0x4cuy; 0x0auy; 0xc1uy; 0xfcuy; 0x5auy; 0x18uy; 0x50uy; 0x6auy; 0x22uy; 0x44uy; 0xbauy; 0x44uy; 0x9auy; 0xc4uy ] in assert_norm (List.Tot.length l == 32); of_list l let scalar2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x4buy; 0x66uy; 0xe9uy; 0xd4uy; 0xd1uy; 0xb4uy; 0x67uy; 0x3cuy; 0x5auy; 0xd2uy; 0x26uy; 0x91uy; 0x95uy; 0x7duy; 0x6auy; 0xf5uy; 0xc1uy; 0x1buy; 0x64uy; 0x21uy; 0xe0uy; 0xeauy; 0x01uy; 0xd4uy; 0x2cuy; 0xa4uy; 0x16uy; 0x9euy; 0x79uy; 0x18uy; 0xbauy; 0x0duy ] in assert_norm (List.Tot.length l == 32); of_list l let point1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xe6uy; 0xdbuy; 0x68uy; 0x67uy; 0x58uy; 0x30uy; 0x30uy; 0xdbuy; 0x35uy; 0x94uy; 0xc1uy; 0xa4uy; 0x24uy; 0xb1uy; 0x5fuy; 0x7cuy; 0x72uy; 0x66uy; 0x24uy; 0xecuy; 0x26uy; 0xb3uy; 0x35uy; 0x3buy; 0x10uy; 0xa9uy; 0x03uy; 0xa6uy; 0xd0uy; 0xabuy; 0x1cuy; 0x4cuy ] in assert_norm (List.Tot.length l == 32); of_list l let point2 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xe5uy; 0x21uy; 0x0fuy; 0x12uy; 0x78uy; 0x68uy; 0x11uy; 0xd3uy; 0xf4uy; 0xb7uy; 0x95uy; 0x9duy; 0x05uy; 0x38uy; 0xaeuy; 0x2cuy; 0x31uy; 0xdbuy; 0xe7uy; 0x10uy; 0x6fuy; 0xc0uy; 0x3cuy; 0x3euy; 0xfcuy; 0x4cuy; 0xd5uy; 0x49uy; 0xc7uy; 0x15uy; 0xa4uy; 0x93uy ] in assert_norm (List.Tot.length l == 32); of_list l let expected1 : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0xc3uy; 0xdauy; 0x55uy; 0x37uy; 0x9duy; 0xe9uy; 0xc6uy; 0x90uy; 0x8euy; 0x94uy; 0xeauy; 0x4duy; 0xf2uy; 0x8duy; 0x08uy; 0x4fuy; 0x32uy; 0xecuy; 0xcfuy; 0x03uy; 0x49uy; 0x1cuy; 0x71uy; 0xf7uy; 0x54uy; 0xb4uy; 0x07uy; 0x55uy; 0x77uy; 0xa2uy; 0x85uy; 0x52uy ] in assert_norm (List.Tot.length l == 32); of_list l

{ "checked_file": "/", "dependencies": [ "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.RawIntTypes.fsti.checked", "Lib.PrintSequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Curve25519.Test.fst" }

[ { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.RawIntTypes", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "Spec.Curve25519", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 32

Prims.Tot

[ "total" ]

[]

[ "Lib.Sequence.of_list", "Lib.IntTypes.int_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.int", "FStar.List.Tot.Base.length", "Prims.list", "FStar.List.Tot.Base.map", "FStar.UInt8.t", "Lib.RawIntTypes.u8_from_UInt8", "Prims.Cons", "FStar.UInt8.__uint_to_t", "Prims.Nil" ]

[]

false

let expected2:lbytes 32 =

let l = List.Tot.map u8_from_UInt8 [ 0x95uy; 0xcbuy; 0xdeuy; 0x94uy; 0x76uy; 0xe8uy; 0x90uy; 0x7duy; 0x7auy; 0xaduy; 0xe4uy; 0x5cuy; 0xb4uy; 0xb8uy; 0x73uy; 0xf8uy; 0x8buy; 0x59uy; 0x5auy; 0x68uy; 0x79uy; 0x9fuy; 0xa1uy; 0x52uy; 0xe6uy; 0xf8uy; 0xf7uy; 0x64uy; 0x7auy; 0xacuy; 0x79uy; 0x57uy ] in assert_norm (List.Tot.length l == 32); of_list l

false

InlineSingletonRecords.fst

InlineSingletonRecords.simplify_decl

val simplify_decl (env: env) (d: decl) : ML decl

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; field_probe = 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 _ _ _ | ExternProbe _ -> d

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 22, "end_line": 211, "start_col": 0, "start_line": 132 }

(* 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 _ -> ( if Some? field.field_probe then field else 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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

env: InlineSingletonRecords.env -> d: Ast.decl -> FStar.All.ML Ast.decl

FStar.All.ML

[ "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.probe_call", "Ast.expr'", "Ast.Constant", "Ast.Bool", "FStar.List.fold_right", "Ast.either", "Prims.int", "Ast.App", "Ast.Or", "Prims.Cons", "Ast.Eq", "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" ]

[]

false

true

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; field_probe = 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 _ _ _ | ExternProbe _ -> d

false

InlineSingletonRecords.fst

InlineSingletonRecords.simplify_prog

val simplify_prog : p: Prims.list Ast.decl -> FStar.All.ALL (Prims.list Ast.decl)

let simplify_prog (p:list decl) = let env = H.create 10 in List.map (simplify_decl env) p

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 32, "end_line": 215, "start_col": 0, "start_line": 213 }

(* 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 _ -> ( if Some? field.field_probe then field else 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; field_probe = 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 _ _ _ | ExternProbe _ -> d

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

p: Prims.list Ast.decl -> FStar.All.ALL (Prims.list Ast.decl)

FStar.All.ALL

[]

[ "Prims.list", "Ast.decl", "FStar.List.map", "InlineSingletonRecords.simplify_decl", "Hashtable.t", "Ast.ident'", "InlineSingletonRecords.singleton_record", "Hashtable.create" ]

[]

false

true

false

let simplify_prog (p: list decl) =

let env = H.create 10 in List.map (simplify_decl env) p

false

InlineSingletonRecords.fst

InlineSingletonRecords.simplify_atomic_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 = let field = f.v in let field = match field.field_type.v with | Pointer _ -> ( if Some? field.field_probe then field else 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 }

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 24, "end_line": 111, "start_col": 0, "start_line": 39 }

(* 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

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

env: InlineSingletonRecords.env -> f: Ast.atomic_field -> FStar.All.ML Ast.atomic_field

FStar.All.ML

[ "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.Pervasives.Native.uu___is_Some", "Ast.probe_call", "Ast.__proj__Mkatomic_field'__item__field_probe", "Prims.bool", "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", "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'" ]

[]

false

true

false

let simplify_atomic_field (env: env) (f: atomic_field) : ML atomic_field =

false

DM4F.fst

DM4F.return

val return (a: Type) (x: a) (st: Type0) : repr a st (return_wp x)

let return (a:Type) (x:a) (st:Type0) : repr a st (return_wp x) = fun s0 -> (x, s0)

{ "file_name": "examples/layeredeffects/DM4F.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 19, "end_line": 26, "start_col": 0, "start_line": 25 }

module DM4F open FStar.Monotonic.Pure #set-options "--print_universes" (* Simulating state effect in DM4F, hopefully doable by a tactic. *) type wp0 (st:Type u#0) (a:Type u#ua) : Type u#(max 1 ua) = st -> (a & st -> Type0) -> Type0 let st_monotonic #st #a (w : wp0 st a) : Type0 = //forall s0 p1 p2. (forall r. p1 r ==> p2 r) ==> w s0 p1 ==> w s0 p2 // ^ this version seems to be less SMT-friendly forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2 type wp st a = w:(wp0 st a){st_monotonic w} type repr (a:Type u#ua) (st:Type0) (wp : wp u#ua st a) : Type u#ua = s0:st -> PURE (a & st) (as_pure_wp (wp s0)) unfold let return_wp (#a:Type) (#st:Type0) (x:a) : wp st a = fun s0 p -> p (x, s0)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked" ], "interface_file": false, "source_file": "DM4F.fst" }

[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

a: Type -> x: a -> st: Type0 -> DM4F.repr a st (DM4F.return_wp x)

Prims.Tot

[ "total" ]

[]

[ "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple2", "DM4F.repr", "DM4F.return_wp" ]

[]

false

let return (a: Type) (x: a) (st: Type0) : repr a st (return_wp x) =

fun s0 -> (x, s0)

false

DM4F.fst

DM4F.return_wp

val return_wp (#a: Type) (#st: Type0) (x: a) : wp st a

let return_wp (#a:Type) (#st:Type0) (x:a) : wp st a = fun s0 p -> p (x, s0)

{ "file_name": "examples/layeredeffects/DM4F.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 75, "end_line": 23, "start_col": 0, "start_line": 23 }

module DM4F open FStar.Monotonic.Pure #set-options "--print_universes" (* Simulating state effect in DM4F, hopefully doable by a tactic. *) type wp0 (st:Type u#0) (a:Type u#ua) : Type u#(max 1 ua) = st -> (a & st -> Type0) -> Type0 let st_monotonic #st #a (w : wp0 st a) : Type0 = //forall s0 p1 p2. (forall r. p1 r ==> p2 r) ==> w s0 p1 ==> w s0 p2 // ^ this version seems to be less SMT-friendly forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2 type wp st a = w:(wp0 st a){st_monotonic w} type repr (a:Type u#ua) (st:Type0) (wp : wp u#ua st a) : Type u#ua = s0:st -> PURE (a & st) (as_pure_wp (wp s0))

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked" ], "interface_file": false, "source_file": "DM4F.fst" }

[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

x: a -> DM4F.wp st a

Prims.Tot

[ "total" ]

[]

[ "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2", "DM4F.wp" ]

[]

false

true

false

let return_wp (#a: Type) (#st: Type0) (x: a) : wp st a =

fun s0 p -> p (x, s0)

false

Vale.AES.PPC64LE.GF128_Mul.fst

Vale.AES.PPC64LE.GF128_Mul.va_qcode_Clmul128

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: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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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))))))))))))))))))))))))))))))))))))))))))))))))

{ "file_name": "obj/Vale.AES.PPC64LE.GF128_Mul.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }

{ "end_col": 54, "end_line": 668, "start_col": 0, "start_line": 533 }

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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ()))))))))))))

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

va_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 ())

Prims.Tot

[ "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" ]

[]

false

let va_qcode_Clmul128 (va_mods: va_mods_t) (ab 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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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/fstar_dataset/projects/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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )) )))))))))))))) ))))))

false

DM4F.fst

DM4F.bind_wp

val bind_wp (#a #b: Type) (#st: Type0) (wp_c: wp st a) (wp_f: (a -> wp st b)) : wp st b

let bind_wp (#a #b:Type) (#st:Type0) (wp_c:wp st a) (wp_f:a -> wp st b) : wp st b = fun s0 p -> wp_c s0 (fun (y, s1) -> wp_f y s1 p)

{ "file_name": "examples/layeredeffects/DM4F.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }

{ "end_col": 50, "end_line": 30, "start_col": 0, "start_line": 29 }

module DM4F open FStar.Monotonic.Pure #set-options "--print_universes" (* Simulating state effect in DM4F, hopefully doable by a tactic. *) type wp0 (st:Type u#0) (a:Type u#ua) : Type u#(max 1 ua) = st -> (a & st -> Type0) -> Type0 let st_monotonic #st #a (w : wp0 st a) : Type0 = //forall s0 p1 p2. (forall r. p1 r ==> p2 r) ==> w s0 p1 ==> w s0 p2 // ^ this version seems to be less SMT-friendly forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2 type wp st a = w:(wp0 st a){st_monotonic w} type repr (a:Type u#ua) (st:Type0) (wp : wp u#ua st a) : Type u#ua = s0:st -> PURE (a & st) (as_pure_wp (wp s0)) unfold let return_wp (#a:Type) (#st:Type0) (x:a) : wp st a = fun s0 p -> p (x, s0) let return (a:Type) (x:a) (st:Type0) : repr a st (return_wp x) = fun s0 -> (x, s0)

{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked" ], "interface_file": false, "source_file": "DM4F.fst" }

[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

wp_c: DM4F.wp st a -> wp_f: (_: a -> DM4F.wp st b) -> DM4F.wp st b

Prims.Tot

[ "total" ]

[]

[ "DM4F.wp", "FStar.Pervasives.Native.tuple2" ]

[]

false

true

false

let bind_wp (#a #b: Type) (#st: Type0) (wp_c: wp st a) (wp_f: (a -> wp st b)) : wp st b =

fun s0 p -> wp_c s0 (fun (y, s1) -> wp_f y s1 p)

false

InlineSingletonRecords.fst

InlineSingletonRecords.simplify_switch_case

val simplify_switch_case (env: env) (swc: switch_case) : ML switch_case

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

{ "file_name": "src/3d/InlineSingletonRecords.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }

{ "end_col": 12, "end_line": 129, "start_col": 0, "start_line": 113 }

(* 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 _ -> ( if Some? field.field_probe then field else 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 }

{ "checked_file": "/", "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" }

[ { "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 } ]

{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }

false

env: InlineSingletonRecords.env -> swc: Ast.switch_case -> FStar.All.ML Ast.switch_case

FStar.All.ML

[ "ml" ]

[ "simplify_field", "simplify_switch_case" ]

[ "InlineSingletonRecords.env", "Ast.switch_case", "Ast.expr", "Prims.list", "Ast.case", "FStar.Pervasives.Native.Mktuple2", "FStar.List.map", "Ast.with_meta_t", "Ast.field'", "Ast.Case", "InlineSingletonRecords.simplify_field", "Ast.field", "Ast.DefaultCase" ]

[ "mutual recursion" ]

false

true

false

let rec 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